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10202122012152 = 2337227267519457
BaseRepresentation
bin1001010001110101110111…
…0110111100010111111000
31100010022110102110022202110
42110131131312330113320
52314122421213342102
633410442401132320
72102036044164540
oct224353566742770
940108412408673
1010202122012152
1132837719a8374
1211892a602a0a0
13590095ca1795
14273adcd8a320
1512a5a982b86c
hex9475ddbc5f8

10202122012152 has 64 divisors (see below), whose sum is σ = 29277329483520. Its totient is φ = 2902051058688.

The previous prime is 10202122012091. The next prime is 10202122012153. The reversal of 10202122012152 is 25121022120201.

It is a super-2 number, since 2×102021220121522 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122012153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133721593 + ... + 133797864.

It is an arithmetic number, because the mean of its divisors is an integer number (457458273180).

Almost surely, 210202122012152 is an apocalyptic number.

10202122012152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202122012152 is an abundant number, since it is smaller than the sum of its proper divisors (19075207471368).

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

10202122012152 is a wasteful number, since it uses less digits than its factorization.

10202122012152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267519700 (or 267519696 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10202122012152 its reverse (25121022120201), we get a palindrome (35323144132353).

The spelling of 10202122012152 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 227 454 681 908 1362 1589 1816 2724 3178 4767 5448 6356 9534 12712 19068 38136 267519457 535038914 802558371 1070077828 1605116742 1872636199 2140155656 3210233484 3745272398 5617908597 6420466968 7490544796 11235817194 14981089592 22471634388 44943268776 60726916739 121453833478 182180750217 242907666956 364361500434 425088417173 485815333912 728723000868 850176834346 1275265251519 1457446001736 1700353668692 2550530503038 3400707337384 5101061006076 10202122012152