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100022011012 = 22711675478861
BaseRepresentation
bin101110100100111000…
…1101100010010000100
3100120011201001121200101
41131021301230102010
53114321113323022
6113541030453444
710140432031360
oct1351161542204
9316151047611
10100022011012
11394678aa320
1217475204284
139580248301
144babd502a0
152906136627
hex1749c6c484

100022011012 has 96 divisors (see below), whose sum is σ = 221916957696. Its totient is φ = 38313475200.

The previous prime is 100022011009. The next prime is 100022011013. The reversal of 100022011012 is 210110220001.

It is a self number, because there is not a number n which added to its sum of digits gives 100022011012.

It is not an unprimeable number, because it can be changed into a prime (100022011013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11283462 + ... + 11292322.

It is an arithmetic number, because the mean of its divisors is an integer number (2311634976).

Almost surely, 2100022011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110958478848).

100022011012 is an abundant number, since it is smaller than the sum of its proper divisors (121894946684).

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

100022011012 is a wasteful number, since it uses less digits than its factorization.

100022011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100022011012 its reverse (210110220001), we get a palindrome (310132231013).

The spelling of 100022011012 in words is "one hundred billion, twenty-two million, eleven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 547 737 938 1094 1474 1876 2188 2948 3829 5159 6017 7658 8861 10318 12034 15316 17722 20636 24068 35444 36649 42119 62027 73298 84238 97471 124054 146596 168476 194942 248108 256543 389884 403139 513086 593687 682297 806278 1026172 1187374 1364594 1612556 2374748 2729188 2821973 4155809 4846967 5643946 6530557 8311618 9693934 11287892 13061114 16623236 19387868 26122228 33928769 45713899 53316637 67857538 91427798 106633274 135715076 182855596 213266548 324746789 373216459 649493578 746432918 1298987156 1492865836 2273227523 3572214679 4546455046 7144429358 9092910092 14288858716 25005502753 50011005506 100022011012