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100012213314 = 232131395036113
BaseRepresentation
bin101110100100100110…
…0010100010001000010
3100120011000121211202200
41131021030110101002
53114311111311224
6113540040454030
710140252533556
oct1351114242102
9316130554680
10100012213314
1139462318152
1217471a7a316
13957b1c7860
144baa91d866
15290534d5c9
hex1749314442

100012213314 has 96 divisors (see below), whose sum is σ = 235546496640. Its totient is φ = 30485873664.

The previous prime is 100012213309. The next prime is 100012213337. The reversal of 100012213314 is 413312210001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16357522 + ... + 16363634.

It is an arithmetic number, because the mean of its divisors is an integer number (2453609340).

Almost surely, 2100012213314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012213314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117773248320).

100012213314 is an abundant number, since it is smaller than the sum of its proper divisors (135534283326).

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

100012213314 is a wasteful number, since it uses less digits than its factorization.

100012213314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100012213314 its reverse (413312210001), we get a palindrome (513324423315).

The spelling of 100012213314 in words is "one hundred billion, twelve million, two hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 503 834 1006 1251 1509 1807 2502 3018 3614 4527 5421 6113 6539 9054 10842 12226 13078 16263 18339 19617 32526 36678 39234 55017 58851 69917 79469 110034 117702 139834 158938 209751 238407 419502 476814 629253 715221 849707 908921 1258506 1430442 1699414 1817842 2549121 2726763 3074839 5098242 5453526 6149678 7647363 8180289 9224517 11046191 15294726 16360578 18449034 22092382 27673551 33138573 39972907 55347102 66277146 79945814 99415719 119918721 198831438 239837442 359756163 427402621 719512326 854805242 1282207863 2564415726 3846623589 5556234073 7693247178 11112468146 16668702219 33337404438 50006106657 100012213314