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210101012 = 22113193167
BaseRepresentation
bin11001000010111…
…10001100010100
3112122100020101222
430201132030110
5412241213022
632503105512
75130554252
oct1441361424
9478306358
10210101012
11a8662000
125a442298
13346b2b34
141dc915d2
15136a2242
hexc85e314

210101012 has 96 divisors (see below), whose sum is σ = 445992960. Its totient is φ = 86248800.

The previous prime is 210101009. The next prime is 210101033.

210101012 is nontrivially palindromic in base 10.

210101012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3135803 + ... + 3135869.

It is an arithmetic number, because the mean of its divisors is an integer number (4645760).

Almost surely, 2210101012 is an apocalyptic number.

210101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210101012 is an abundant number, since it is smaller than the sum of its proper divisors (235891948).

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

210101012 is a wasteful number, since it uses less digits than its factorization.

210101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 210101012 is about 14494.8615722952. The cubic root of 210101012 is about 594.4874827688.

It can be divided in two parts, 21010 and 1012, that added together give a palindrome (22022).

The spelling of 210101012 in words is "two hundred ten million, one hundred one thousand, twelve".

Divisors: 1 2 4 11 19 22 31 38 44 62 67 76 121 124 134 209 242 268 341 418 484 589 682 737 836 1178 1273 1331 1364 1474 2077 2299 2356 2546 2662 2948 3751 4154 4598 5092 5324 6479 7502 8107 8308 9196 12958 14003 15004 16214 22847 25289 25916 28006 32428 39463 41261 45694 50578 56012 71269 78926 82522 89177 91388 101156 142538 154033 157852 165044 178354 251317 285076 308066 356708 434093 502634 616132 783959 868186 1005268 1567918 1694363 1736372 2764487 3135836 3388726 4775023 5528974 6777452 9550046 11057948 19100092 52525253 105050506 210101012