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10122132020 = 22571113505601
BaseRepresentation
bin10010110110101001…
…10111101000110100
3222010102120120202112
421123110313220310
5131212231211040
64352224230152
7505556462660
oct113324675064
928112516675
1010122132020
114324752670
121b65a6b358
13c540ac940
146c04758a0
153e3985365
hex25b537a34

10122132020 has 96 divisors (see below), whose sum is σ = 28540221696. Its totient is φ = 2912256000.

The previous prime is 10122132011. The next prime is 10122132047. The reversal of 10122132020 is 2023122101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10122131986 and 10122132004.

It is a congruent number.

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, 232781 + ... + 272820.

It is an arithmetic number, because the mean of its divisors is an integer number (297293976).

Almost surely, 210122132020 is an apocalyptic number.

10122132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122132020 is an abundant number, since it is smaller than the sum of its proper divisors (18418089676).

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

10122132020 is a wasteful number, since it uses less digits than its factorization.

10122132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505641 (or 505639 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122132020 its reverse (2023122101), we get a palindrome (12145254121).

The spelling of 10122132020 in words is "ten billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 505601 1011202 2022404 2528005 3539207 5056010 5561611 6572813 7078414 10112020 11123222 13145626 14156828 17696035 22246444 26291252 27808055 32864065 35392070 38931277 46009691 55616110 65728130 70784140 72300943 77862554 92019382 111232220 131456260 144601886 155725108 184038764 194656385 230048455 289203772 361504715 389312770 460096910 506106601 723009430 778625540 920193820 1012213202 1446018860 2024426404 2530533005 5061066010 10122132020