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1011200002110 = 233529465127767
BaseRepresentation
bin11101011011100000011…
…01111000100000111110
310120200002021012111001000
432231300031320200332
5113031414200031420
62052312221231130
7133025323125264
oct16556015704076
93520067174030
101011200002110
1135a936048291
12143b88a024a6
137448177b41c
1436d29ada434
151b484b60690
hexeb7037883e

1011200002110 has 128 divisors (see below), whose sum is σ = 2790217497600. Its totient is φ = 260289590400.

The previous prime is 1011200002097. The next prime is 1011200002157. The reversal of 1011200002110 is 112000021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011200002092 and 1011200002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36403447 + ... + 36431213.

It is an arithmetic number, because the mean of its divisors is an integer number (21798574200).

Almost surely, 21011200002110 is an apocalyptic number.

1011200002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011200002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395108748800).

1011200002110 is an abundant number, since it is smaller than the sum of its proper divisors (1779017495490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011200002110 is a wasteful number, since it uses less digits than its factorization.

1011200002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32463 (or 32457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011200002110 its reverse (112000021101), we get a palindrome (1123200023211).

The spelling of 1011200002110 in words is "one trillion, eleven billion, two hundred million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 4651 7830 9302 13953 23255 27767 27906 41859 46510 55534 69765 83301 83718 125577 134879 138835 139530 166602 209295 249903 251154 269758 277670 404637 416505 418590 499806 627885 674395 749709 805243 809274 833010 1213911 1249515 1255770 1348790 1499418 1610486 2023185 2415729 2427822 2499030 3641733 3748545 4026215 4046370 4831458 6069555 7247187 7283466 7497090 8052430 12078645 12139110 14494374 18208665 21741561 24157290 36235935 36417330 43483122 72471870 108707805 129144317 217415610 258288634 387432951 645721585 774865902 1162298853 1291443170 1937164755 2324597706 3486896559 3745185193 3874329510 5811494265 6973793118 7490370386 11235555579 11622988530 17434482795 18725925965 22471111158 33706666737 34868965590 37451851930 56177777895 67413333474 101120000211 112355555790 168533333685 202240000422 337066667370 505600001055 1011200002110