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100231144744212 = 22361723414015347
BaseRepresentation
bin10110110010100011100001…
…110001110010010100010100
3111010220000002210221011000000
4112302203201301302110110
5101114141341023303322
6553101315140451300
730053314130065626
oct2662434161622424
9433800083834000
10100231144744212
1129a338762076a9
12b2a95736a9b30
1343c09aaa45c41
141aa72db3a6c16
15b8c3970e13ac
hex5b28e1c72514

100231144744212 has 672 divisors, whose sum is σ = 298448012346624. Its totient is φ = 29265629184000.

The previous prime is 100231144744169. The next prime is 100231144744273. The reversal of 100231144744212 is 212447441132001.

100231144744212 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 1 + 144 + 74 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18745302123 + ... + 18745307469.

It is an arithmetic number, because the mean of its divisors is an integer number (444119065992).

Almost surely, 2100231144744212 is an apocalyptic number.

100231144744212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100231144744212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149224006173312).

100231144744212 is an abundant number, since it is smaller than the sum of its proper divisors (198216867602412).

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

100231144744212 is a wasteful number, since it uses less digits than its factorization.

100231144744212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 100231144744212 its reverse (212447441132001), we get a palindrome (312678585876213).

The spelling of 100231144744212 in words is "one hundred trillion, two hundred thirty-one billion, one hundred forty-four million, seven hundred forty-four thousand, two hundred twelve".