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10132012320100 = 22521131297126461
BaseRepresentation
bin1001001101110000101011…
…1111101100010101100100
31022212121111100200221200021
42103130022333230111210
52312000330123220400
633314325431124524
72064004465505146
oct223341277542544
938777440627607
1010132012320100
113256a648a5010
12117779a513744
135865a1bcbcb8
1427056b97cc96
1512885479e71a
hex9370afec564

10132012320100 has 72 divisors (see below), whose sum is σ = 24758953825536. Its totient is φ = 3565517520000.

The previous prime is 10132012320097. The next prime is 10132012320103. The reversal of 10132012320100 is 102321023101.

It is an interprime number because it is at equal distance from previous prime (10132012320097) and next prime (10132012320103).

It is not an unprimeable number, because it can be changed into a prime (10132012320103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 148529131 + ... + 148597330.

It is an arithmetic number, because the mean of its divisors is an integer number (343874358688).

Almost surely, 210132012320100 is an apocalyptic number.

10132012320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132012320100 is an abundant number, since it is smaller than the sum of its proper divisors (14626941505436).

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

10132012320100 is a wasteful number, since it uses less digits than its factorization.

10132012320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297126517 (or 297126510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10132012320100 its reverse (102321023101), we get a palindrome (10234333343201).

The spelling of 10132012320100 in words is "ten trillion, one hundred thirty-two billion, twelve million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 297126461 594252922 1188505844 1485632305 2971264610 3268391071 5942529220 6536782142 7428161525 9210920291 13073564284 14856323050 16341955355 18421840582 29712646100 32683910710 36843681164 46054601455 65367821420 81709776775 92109202910 101320123201 163419553550 184218405820 202640246402 230273007275 326839107100 405280492804 460546014550 506600616005 921092029100 1013201232010 2026402464020 2533003080025 5066006160050 10132012320100