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101112111030 = 23572102167369
BaseRepresentation
bin101111000101011000…
…0000101111110110110
3100122222200021102210010
41132022300011332312
53124034200023110
6114241131241050
710206436522500
oct1361260057666
9318880242703
10101112111030
1139977172627
121771a2a9186
1396c5040ac8
144c72a32d70
15296bbb4020
hex178ac05fb6

101112111030 has 96 divisors (see below), whose sum is σ = 282569182560. Its totient is φ = 23088360960.

The previous prime is 101112110959. The next prime is 101112111041. The reversal of 101112111030 is 30111211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112110997 and 101112111015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467186 + ... + 1534554.

It is an arithmetic number, because the mean of its divisors is an integer number (2943428985).

Almost surely, 2101112111030 is an apocalyptic number.

101112111030 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 101112111030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141284591280).

101112111030 is an abundant number, since it is smaller than the sum of its proper divisors (181457071530).

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

101112111030 is a wasteful number, since it uses less digits than its factorization.

101112111030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68414 (or 68407 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101112111030 its reverse (30111211101), we get a palindrome (131223322131).

The spelling of 101112111030 in words is "one hundred one billion, one hundred twelve million, one hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1021 1470 2042 3063 5105 6126 7147 10210 14294 15315 21441 30630 35735 42882 50029 67369 71470 100058 107205 134738 150087 202107 214410 250145 300174 336845 404214 471583 500290 673690 750435 943166 1010535 1414749 1500870 2021070 2357915 2829498 3301081 4715830 6602162 7073745 9903243 14147490 16505405 19806486 33010810 49516215 68783749 99032430 137567498 206351247 343918745 412702494 481486243 687837490 962972486 1031756235 1444458729 2063512470 2407431215 2888917458 3370403701 4814862430 6740807402 7222293645 10111211103 14444587290 16852018505 20222422206 33704037010 50556055515 101112111030