Search a number
-
+
103033130012100 = 22335238160418523
BaseRepresentation
bin10111011011010101000101…
…000111010100110111000100
3111111210212111222112210112000
4113123111011013110313010
5102001043322240341400
61003044433321225300
730462620003642031
oct2733250507246704
9444725458483460
10103033130012100
112a914117907342
12b680616932230
134564ca06435b2
141b62b89b20388
15bda1dc813600
hex5db5451d4dc4

103033130012100 has 72 divisors (see below), whose sum is σ = 331232432788320. Its totient is φ = 27475501335840.

The previous prime is 103033130012053. The next prime is 103033130012149. The reversal of 103033130012100 is 1210031330301.

It is a happy number.

103033130012100 is a `hidden beast` number, since 1 + 0 + 30 + 331 + 300 + 1 + 2 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1030331300121002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 19080206562 + ... + 19080211961.

Almost surely, 2103033130012100 is an apocalyptic number.

103033130012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103033130012100 is an abundant number, since it is smaller than the sum of its proper divisors (228199302776220).

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

103033130012100 is a wasteful number, since it uses less digits than its factorization.

103033130012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38160418546 (or 38160418533 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103033130012100 its reverse (1210031330301), we get a palindrome (104243161342401).

The spelling of 103033130012100 in words is "one hundred three trillion, thirty-three billion, one hundred thirty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 38160418523 76320837046 114481255569 152641674092 190802092615 228962511138 343443766707 381604185230 457925022276 572406277845 686887533414 763208370460 954010463075 1030331300121 1144812555690 1373775066828 1717218833535 1908020926150 2060662600242 2289625111380 2862031389225 3434437667070 3816041852300 4121325200484 5151656500605 5724062778450 6868875334140 8586094167675 10303313001210 11448125556900 17172188335350 20606626002420 25758282503025 34344376670700 51516565006050 103033130012100