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100315001220132 = 223298631103302831
BaseRepresentation
bin10110110011110001101000…
…000000110110110000100100
3111011012000112220200111102110
4112303301220000312300210
5101122030110303021012
6553204024140041020
730062343150265356
oct2663615000666044
9434160486614373
10100315001220132
1129a66397a89166
12b301876b33170
1343c8882b2a06a
141aab3b43b50d6
15b8e653e3473c
hex5b3c68036c24

100315001220132 has 96 divisors (see below), whose sum is σ = 242640820961280. Its totient is φ = 32218534311040.

The previous prime is 100315001220131. The next prime is 100315001220139. The reversal of 100315001220132 is 231022100513001.

It is a junction number, because it is equal to n+sod(n) for n = 100315001220099 and 100315001220108.

It is not an unprimeable number, because it can be changed into a prime (100315001220131) 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, 331105957 + ... + 331408787.

It is an arithmetic number, because the mean of its divisors is an integer number (2527508551680).

Almost surely, 2100315001220132 is an apocalyptic number.

100315001220132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100315001220132 is an abundant number, since it is smaller than the sum of its proper divisors (142325819741148).

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

100315001220132 is a wasteful number, since it uses less digits than its factorization.

100315001220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304833 (or 304831 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 100315001220132 its reverse (231022100513001), we get a palindrome (331337101733133).

The spelling of 100315001220132 in words is "one hundred trillion, three hundred fifteen billion, one million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 863 1103 1726 2206 2589 3309 3452 4412 5178 6618 10356 13236 25027 31987 50054 63974 75081 95961 100108 127948 150162 191922 300324 302831 383844 605662 908493 951889 1211324 1816986 1903778 2855667 3633972 3807556 5711334 8782099 11422668 17564198 26346297 27604781 35128396 52692594 55209562 82814343 105385188 110419124 165628686 261343153 331257372 334022593 522686306 668045186 784029459 1002067779 1045372612 1336090372 1568058918 2004135558 3136117836 4008271116 7578951437 9686655197 15157902874 19373310394 22736854311 29059965591 30315805748 38746620788 45473708622 58119931182 90947417244 116239862364 288261497759 576522995518 864784493277 1153045991036 1729568986554 3459137973108 8359583435011 16719166870022 25078750305033 33438333740044 50157500610066 100315001220132