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100213022123130 = 23571805926424767
BaseRepresentation
bin10110110010010010101001…
…100101011110010001111010
3111010211021022211000121110210
4112302102221211132101322
5101113342232130420010
6553045120554051550
730052103052254640
oct2662225145362172
9433737284017423
10100213022123130
1129a27116493204
12b2a5b56419bb6
1343bc0802b1707
141aa649c57b190
15b8bb860b5b20
hex5b24a995e47a

100213022123130 has 64 divisors (see below), whose sum is σ = 274885234606080. Its totient is φ = 22904564372544.

The previous prime is 100213022123087. The next prime is 100213022123153. The reversal of 100213022123130 is 31321220312001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100213022123097 and 100213022123106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9419994 + ... + 17004773.

It is an arithmetic number, because the mean of its divisors is an integer number (4295081790720).

Almost surely, 2100213022123130 is an apocalyptic number.

100213022123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100213022123130 is an abundant number, since it is smaller than the sum of its proper divisors (174672212482950).

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

100213022123130 is a wasteful number, since it uses less digits than its factorization.

100213022123130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26442843.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100213022123130 its reverse (31321220312001), we get a palindrome (131534242435131).

The spelling of 100213022123130 in words is "one hundred trillion, two hundred thirteen billion, twenty-two million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 18059 36118 54177 90295 108354 126413 180590 252826 270885 379239 541770 632065 758478 1264130 1896195 3792390 26424767 52849534 79274301 132123835 158548602 184973369 264247670 369946738 396371505 554920107 792743010 924866845 1109840214 1849733690 2774600535 5549201070 477204867253 954409734506 1431614601759 2386024336265 2863229203518 3340434070771 4772048672530 6680868141542 7158073008795 10021302212313 14316146017590 16702170353855 20042604424626 33404340707710 50106511061565 100213022123130