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102111330030 = 23547611677109
BaseRepresentation
bin101111100011001001…
…1110011111011101110
3100202120022111000120020
41133012103303323232
53133111000030110
6114524224103010
710243261661433
oct1370623637356
9322508430506
10102111330030
113a33a202656
1217958a64a66
139824066658
144d29619b8a
1529c978dd70
hex17c64f3eee

102111330030 has 128 divisors (see below), whose sum is σ = 255943618560. Its totient is φ = 26052810240.

The previous prime is 102111330019. The next prime is 102111330047. The reversal of 102111330030 is 30033111201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 102111329991 and 102111330009.

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, 14360116 + ... + 14367224.

It is an arithmetic number, because the mean of its divisors is an integer number (1999559520).

Almost surely, 2102111330030 is an apocalyptic number.

102111330030 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 102111330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127971809280).

102111330030 is an abundant number, since it is smaller than the sum of its proper divisors (153832288530).

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

102111330030 is a wasteful number, since it uses less digits than its factorization.

102111330030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 102111330030 its reverse (30033111201), we get a palindrome (132144441231).

The spelling of 102111330030 in words is "one hundred two billion, one hundred eleven million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 61 94 122 141 167 183 235 282 305 334 366 470 501 610 705 835 915 1002 1410 1670 1830 2505 2867 5010 5734 7109 7849 8601 10187 14218 14335 15698 17202 20374 21327 23547 28670 30561 35545 39245 42654 43005 47094 50935 61122 71090 78490 86010 101870 106635 117735 152805 213270 235470 305610 334123 433649 478789 668246 867298 957578 1002369 1187203 1300947 1436367 1670615 2004738 2168245 2374406 2393945 2601894 2872734 3341230 3561609 4336490 4787890 5011845 5936015 6504735 7123218 7181835 10023690 11872030 13009470 14363670 17808045 20381503 35616090 40763006 55798541 61144509 72419383 101907515 111597082 122289018 144838766 167395623 203815030 217258149 278992705 305722545 334791246 362096915 434516298 557985410 611445090 724193830 836978115 1086290745 1673956230 2172581490 3403711001 6807422002 10211133003 17018555005 20422266006 34037110010 51055665015 102111330030