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10001010200032 = 257125761327941
BaseRepresentation
bin1001000110001000101010…
…1010010000110111100000
31022102002100121002201202101
42101202022222100313200
52302324032102400112
633134222313100144
72051356233040015
oct221421252206740
938362317081671
1010001010200032
11320644a594285
12115631a0b7654
13577125527317
142680a137370c
1512523898b757
hex9188aa90de0

10001010200032 has 96 divisors (see below), whose sum is σ = 20077914999744. Its totient is φ = 4902705561600.

The previous prime is 10001010200021. The next prime is 10001010200047. The reversal of 10001010200032 is 23000201010001.

It is a super-2 number, since 2×100010102000322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001010199991 and 10001010200018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357919182 + ... + 357947122.

It is an arithmetic number, because the mean of its divisors is an integer number (209144947914).

Almost surely, 210001010200032 is an apocalyptic number.

It is an amenable number.

10001010200032 is an abundant number, since it is smaller than the sum of its proper divisors (10076904799712).

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

10001010200032 is a wasteful number, since it uses less digits than its factorization.

10001010200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28892 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10001010200032 its reverse (23000201010001), we get a palindrome (33001211210033).

The spelling of 10001010200032 in words is "ten trillion, one billion, ten million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 71 142 257 284 514 568 613 1028 1136 1226 2056 2272 2452 4112 4904 8224 9808 18247 19616 27941 36494 43523 55882 72988 87046 111764 145976 157541 174092 223528 291952 315082 348184 447056 583904 630164 696368 894112 1260328 1392736 1983811 2520656 3967622 5041312 7180837 7935244 11185411 14361674 15870488 17127833 22370822 28723348 31740976 34255666 44741644 57446696 63481952 68511332 89483288 114893392 137022664 178966576 229786784 274045328 357933152 509839427 548090656 1019678854 1216076143 2039357708 2432152286 4078715416 4401853081 4864304572 8157430832 8803706162 9728609144 16314861664 17607412324 19457218288 35214824648 38914436576 70429649296 140859298592 312531568751 625063137502 1250126275004 2500252550008 5000505100016 10001010200032