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10410003312 = 2431761283739
BaseRepresentation
bin10011011000111110…
…00000101101110000
3222212111020221221020
421230133000231300
5132304430101222
64440550255440
7515653365612
oct115437005560
928774227836
1010410003312
1144621a2625
122026357580
13c9b921c97
1470a7acdb2
1540dd9a65c
hex26c7c0b70

10410003312 has 160 divisors (see below), whose sum is σ = 29082781440. Its totient is φ = 3196661760.

The previous prime is 10410003311. The next prime is 10410003319. The reversal of 10410003312 is 21330001401.

It is a junction number, because it is equal to n+sod(n) for n = 10410003291 and 10410003300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410003311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14086239 + ... + 14086977.

It is an arithmetic number, because the mean of its divisors is an integer number (181767384).

Almost surely, 210410003312 is an apocalyptic number.

10410003312 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 10410003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541390720).

10410003312 is an abundant number, since it is smaller than the sum of its proper divisors (18672778128).

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

10410003312 is a wasteful number, since it uses less digits than its factorization.

10410003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10410003312 its reverse (21330001401), we get a palindrome (31740004713).

The spelling of 10410003312 in words is "ten billion, four hundred ten million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 272 283 366 408 488 566 732 739 816 849 976 1037 1132 1464 1478 1698 2074 2217 2264 2928 2956 3111 3396 4148 4434 4528 4811 5912 6222 6792 8296 8868 9622 11824 12444 12563 13584 14433 16592 17263 17736 19244 24888 25126 28866 34526 35472 37689 38488 45079 49776 50252 51789 57732 69052 75378 76976 90158 100504 103578 115464 135237 138104 150756 180316 201008 207156 209137 230928 270474 276208 293471 301512 360632 414312 418274 540948 586942 603024 627411 721264 766343 828624 836548 880413 1081896 1173884 1254822 1532686 1673096 1760826 2163792 2299029 2347768 2509644 3065372 3346192 3521652 3555329 4598058 4695536 5019288 6130744 7043304 7110658 9196116 10038576 10665987 12261488 12757357 14086608 14221316 18392232 21331974 25514714 28442632 36784464 38272071 42663948 51029428 56885264 76544142 85327896 102058856 153088284 170655792 204117712 216875069 306176568 433750138 612353136 650625207 867500276 1301250414 1735000552 2602500828 3470001104 5205001656 10410003312