Search a number
-
+
100130231233332 = 22332689213447599
BaseRepresentation
bin10110110001000101100010…
…110111010010101100110100
3111010112100121222100122102000
4112301011202313102230310
5101111013203143431312
6552543105422015300
730043112321310246
oct2661054267225464
9433470558318360
10100130231233332
11299a4aa1161333
12b291aaba17530
1343b4317bbc221
141aa2486cb0096
15b8993caabadc
hex5b1162dd2b34

100130231233332 has 48 divisors (see below), whose sum is σ = 259597936416000. Its totient is φ = 33376609949760.

The previous prime is 100130231233273. The next prime is 100130231233423. The reversal of 100130231233332 is 233332132031001.

100130231233332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 302 + 3 + 1 + 23 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100130231233296 and 100130231233305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27319669 + ... + 30767267.

It is an arithmetic number, because the mean of its divisors is an integer number (5408290342000).

Almost surely, 2100130231233332 is an apocalyptic number.

100130231233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100130231233332 is an abundant number, since it is smaller than the sum of its proper divisors (159467705182668).

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

100130231233332 is a wasteful number, since it uses less digits than its factorization.

100130231233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716533 (or 3716525 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100130231233332 its reverse (233332132031001), we get a palindrome (333462363264333).

The spelling of 100130231233332 in words is "one hundred trillion, one hundred thirty billion, two hundred thirty-one million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 268921 537842 806763 1075684 1613526 2420289 3227052 3447599 4840578 6895198 7260867 9681156 10342797 13790396 14521734 20685594 29043468 31028391 41371188 62056782 93085173 124113564 186170346 372340692 927131770679 1854263541358 2781395312037 3708527082716 5562790624074 8344185936111 11125581248148 16688371872222 25032557808333 33376743744444 50065115616666 100130231233332