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10234432320 = 263571522981
BaseRepresentation
bin10011000100000010…
…10000101101000000
3222102020220000210220
421202001100231000
5131430003313240
64411315223040
7511422145050
oct114201205500
928366800726
1010234432320
114382085532
121b975a7a80
13c7143c018
146d1349560
153ed7695d0
hex262050b40

10234432320 has 112 divisors (see below), whose sum is σ = 37136393088. Its totient is φ = 2339297280.

The previous prime is 10234432309. The next prime is 10234432321. The reversal of 10234432320 is 2323443201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234432321) 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, 754771 + ... + 768210.

Almost surely, 210234432320 is an apocalyptic number.

10234432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234432320 is an abundant number, since it is smaller than the sum of its proper divisors (26901960768).

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

10234432320 is a wasteful number, since it uses less digits than its factorization.

10234432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523008 (or 1522998 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10234432320 its reverse (2323443201), we get a palindrome (12557875521).

The spelling of 10234432320 in words is "ten billion, two hundred thirty-four million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 1522981 3045962 4568943 6091924 7614905 9137886 10660867 12183848 15229810 18275772 21321734 22844715 24367696 30459620 31982601 36551544 42643468 45689430 48735392 53304335 60919240 63965202 73103088 85286936 91378860 97470784 106608670 121838480 127930404 146206176 159913005 170573872 182757720 213217340 243676960 255860808 292412352 319826010 341147744 365515440 426434680 487353920 511721616 639652020 682295488 731030880 852869360 1023443232 1279304040 1462061760 1705738720 2046886464 2558608080 3411477440 5117216160 10234432320