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10003514094 = 2347101167523
BaseRepresentation
bin10010101000100000…
…11000001011101110
3221211011101011120000
421110100120023232
5130441344422334
64332350005130
7502616316060
oct112420301356
927734334500
1010003514094
1142737a5222
121b321a67a6
13c3564ab12
146ac7d9730
153d8354299
hex2544182ee

10003514094 has 160 divisors (see below), whose sum is σ = 26075782656. Its totient is φ = 2807524800.

The previous prime is 10003514089. The next prime is 10003514111. The reversal of 10003514094 is 49041530001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19126917 + ... + 19127439.

Almost surely, 210003514094 is an apocalyptic number.

10003514094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003514094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037891328).

10003514094 is an abundant number, since it is smaller than the sum of its proper divisors (16072268562).

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

10003514094 is a wasteful number, since it uses less digits than its factorization.

10003514094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10003514094 in words is "ten billion, three million, five hundred fourteen thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 167 189 202 303 334 378 501 523 567 606 707 909 1002 1046 1134 1169 1414 1503 1569 1818 2121 2338 2727 3006 3138 3507 3661 4242 4509 4707 5454 6363 7014 7322 8181 9018 9414 10521 10983 12726 13527 14121 16362 16867 19089 21042 21966 27054 28242 31563 32949 33734 38178 42363 50601 52823 57267 63126 65898 84726 87341 94689 98847 101202 105646 114534 118069 151803 158469 174682 189378 197694 236138 262023 296541 303606 316938 354207 369761 455409 475407 524046 593082 611387 708414 739522 786069 910818 950814 1062621 1109283 1222774 1366227 1426221 1572138 1834161 2125242 2218566 2358207 2732454 2852442 3187863 3327849 3668322 4278663 4716414 5502483 6375726 6655698 7074621 8557326 8821441 9563589 9983547 11004966 14149242 16507449 17642882 19127178 19967094 26464323 29950641 33014898 49522347 52928646 59901282 61750087 79392969 99044694 123500174 158785938 185250261 238178907 370500522 476357814 555750783 714536721 1111501566 1429073442 1667252349 3334504698 5001757047 10003514094