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101000011222212 = 22343313625356089
BaseRepresentation
bin10110111101101111100101…
…110010101000110011000100
3111020121111200102212002202020
4112331233211302220303010
5101214241010333102322
6554450433053443140
730163003301241144
oct2675574562506304
9436544612762666
10101000011222212
112a1aa9562a7523
12b3b258b4a04b0
13444834c84073b
141ad25d893a924
15ba239700105c
hex5bdbe5ca8cc4

101000011222212 has 48 divisors (see below), whose sum is σ = 241917752704320. Its totient is φ = 32778664708608.

The previous prime is 101000011222171. The next prime is 101000011222261. The reversal of 101000011222212 is 212222110000101.

101000011222212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101000011222191 and 101000011222200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312516537 + ... + 312839552.

It is an arithmetic number, because the mean of its divisors is an integer number (5039953181340).

Almost surely, 2101000011222212 is an apocalyptic number.

101000011222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000011222212 is an abundant number, since it is smaller than the sum of its proper divisors (140917741482108).

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

101000011222212 is a wasteful number, since it uses less digits than its factorization.

101000011222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625356452 (or 625356450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101000011222212 its reverse (212222110000101), we get a palindrome (313222121222313).

The spelling of 101000011222212 in words is "one hundred one trillion, eleven million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 313 516 626 939 1252 1878 3756 13459 26918 40377 53836 80754 161508 625356089 1250712178 1876068267 2501424356 3752136534 7504273068 26890311827 53780623654 80670935481 107561247308 161341870962 195736455857 322683741924 391472911714 587209367571 782945823428 1174418735142 2348837470284 8416667601851 16833335203702 25250002805553 33666670407404 50500005611106 101000011222212