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10080820002 = 23112314011117
BaseRepresentation
bin10010110001101110…
…10001101100100010
3222000112211201022210
421120313101230202
5131121142220002
64344150542550
7504545361531
oct113067215442
928015751283
1010080820002
1143033a6300
121b54067a56
13c48676b66
146b8ba0318
153e002496c
hex258dd1b22

10080820002 has 96 divisors (see below), whose sum is σ = 22953595392. Its totient is φ = 2946240000.

The previous prime is 10080819977. The next prime is 10080820037. The reversal of 10080820002 is 20002808001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9024348 + ... + 9025464.

It is an arithmetic number, because the mean of its divisors is an integer number (239099952).

Almost surely, 210080820002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10080820002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476797696).

10080820002 is an abundant number, since it is smaller than the sum of its proper divisors (12872775390).

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

10080820002 is a wasteful number, since it uses less digits than its factorization.

10080820002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 10080820002 in words is "ten billion, eighty million, eight hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 401 682 726 802 1023 1117 1203 2046 2234 2406 3351 3751 4411 6702 7502 8822 11253 12287 12431 13233 22506 24574 24862 26466 34627 36861 37293 48521 69254 73722 74586 97042 103881 135157 136741 145563 207762 270314 273482 291126 380897 405471 410223 447917 761794 810942 820446 895834 1142691 1343751 1504151 2285382 2687502 3008302 4189867 4512453 4927087 8379734 9024906 9854174 12569601 13885427 14781261 25139202 27770854 29562522 41656281 54197957 83312562 108395914 152739697 162593871 305479394 325187742 458219091 916438182 1680136667 3360273334 5040410001 10080820002