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10214262412320 = 253541519017399
BaseRepresentation
bin1001010010100011000101…
…1110111001010000100000
31100011110210111202112221010
42110220301132321100200
52314322302134143240
633420211204100520
72102645641656321
oct224506136712040
940143714675833
1010214262412320
11328893193473a
12118b713994740
1359127c253815
142745314b4448
1512aa6a582280
hex94a317b9420

10214262412320 has 96 divisors (see below), whose sum is σ = 32959680969600. Its totient is φ = 2657369077760.

The previous prime is 10214262412283. The next prime is 10214262412369. The reversal of 10214262412320 is 2321426241201.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 259489020 + ... + 259528379.

It is an arithmetic number, because the mean of its divisors is an integer number (343330010100).

Almost surely, 210214262412320 is an apocalyptic number.

10214262412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214262412320 is an abundant number, since it is smaller than the sum of its proper divisors (22745418557280).

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

10214262412320 is a wasteful number, since it uses less digits than its factorization.

10214262412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519017458 (or 519017450 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10214262412320 its reverse (2321426241201), we get a palindrome (12535688653521).

The spelling of 10214262412320 in words is "ten trillion, two hundred fourteen billion, two hundred sixty-two million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 519017399 1038034798 1557052197 2076069596 2595086995 3114104394 4152139192 5190173990 6228208788 7785260985 8304278384 10380347980 12456417576 15570521970 16608556768 20760695960 21279713359 24912835152 31141043940 41521391920 42559426718 49825670304 62282087880 63839140077 83042783840 85118853436 106398566795 124564175760 127678280154 170237706872 212797133590 249128351520 255356560308 319195700385 340475413744 425594267180 510713120616 638391400770 680950827488 851188534360 1021426241232 1276782801540 1702377068720 2042852482464 2553565603080 3404754137440 5107131206160 10214262412320