Search a number
-
+
100012222121220 = 2235520578646527
BaseRepresentation
bin10110101111010111101000…
…111110010000010100000100
3111010010002000201101121200000
4112233113220332100110010
5101102100012330334340
6552412551445121300
730031434045355563
oct2657275076202404
9433102021347600
10100012222121220
1129959a4408a802
12b2730569b9230
1343a615c30b836
141a9a89012dbda
15b868327b8d30
hex5af5e8f90504

100012222121220 has 72 divisors (see below), whose sum is σ = 314606348120064. Its totient is φ = 26669925897696.

The previous prime is 100012222121171. The next prime is 100012222121243. The reversal of 100012222121220 is 22121222210001.

It is a happy number.

100012222121220 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 222 + 212 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012222121193 and 100012222121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10289318404 + ... + 10289328123.

Almost surely, 2100012222121220 is an apocalyptic number.

100012222121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012222121220 is an abundant number, since it is smaller than the sum of its proper divisors (214594125998844).

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

100012222121220 is a wasteful number, since it uses less digits than its factorization.

100012222121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20578646551 (or 20578646537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100012222121220 its reverse (22121222210001), we get a palindrome (122133444331221).

The spelling of 100012222121220 in words is "one hundred trillion, twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 20578646527 41157293054 61735939581 82314586108 102893232635 123471879162 185207818743 205786465270 246943758324 308679697905 370415637486 411572930540 555623456229 617359395810 740831274972 926039093715 1111246912458 1234718791620 1666870368687 1852078187430 2222493824916 2778117281145 3333740737374 3704156374860 5000611106061 5556234562290 6667481474748 8334351843435 10001222212122 11112469124580 16668703686870 20002444424244 25003055530305 33337407373740 50006111060610 100012222121220