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10230125200032 = 253229977476299
BaseRepresentation
bin1001010011011110001011…
…1110101000001010100000
31100012222202000101122212010
42110313202332220022200
52320102244022400112
633431353222432520
72104050016306653
oct224674276501240
940188660348763
1010230125200032
113294631a81951
121192800292740
1359290976753a
142751d812989a
1512b197ec263c
hex94de2fa82a0

10230125200032 has 96 divisors (see below), whose sum is σ = 26999008344000. Its totient is φ = 3391668523008.

The previous prime is 10230125199989. The next prime is 10230125200079. The reversal of 10230125200032 is 23000252103201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10230125199981 and 10230125200008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21240219 + ... + 21716517.

It is an arithmetic number, because the mean of its divisors is an integer number (281239670250).

Almost surely, 210230125200032 is an apocalyptic number.

10230125200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230125200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499504172000).

10230125200032 is an abundant number, since it is smaller than the sum of its proper divisors (16768883143968).

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

10230125200032 is a wasteful number, since it uses less digits than its factorization.

10230125200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477518 (or 477510 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10230125200032 its reverse (23000252103201), we get a palindrome (33230377303233).

The spelling of 10230125200032 in words is "ten trillion, two hundred thirty billion, one hundred twenty-five million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 977 1374 1832 1954 2748 2931 3664 3908 5496 5862 7328 7816 10992 11724 15632 21984 23448 31264 46896 93792 223733 447466 476299 671199 894932 952598 1342398 1428897 1789864 1905196 2684796 2857794 3579728 3810392 5369592 5715588 7159456 7620784 10739184 11431176 15241568 21478368 22862352 45724704 109072471 218144942 327217413 436289884 465344123 654434826 872579768 930688246 1308869652 1396032369 1745159536 1861376492 2617739304 2792064738 3490319072 3722752984 5235478608 5584129476 7445505968 10470957216 11168258952 14891011936 22336517904 44673035808 106563804167 213127608334 319691412501 426255216668 639382825002 852510433336 1278765650004 1705020866672 2557531300008 3410041733344 5115062600016 10230125200032