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10010122002 = 23217673491399
BaseRepresentation
bin10010101001010011…
…00101011100010010
3221211121210212220100
421110221211130102
5131000042401002
64333143353230
7503026430106
oct112451453422
927747725810
1010010122002
1142774a8901
121b34452816
13c36b2271a
146ad639906
153d8c0c11c
hex254a65712

10010122002 has 96 divisors (see below), whose sum is σ = 23390640000. Its totient is φ = 3082489344.

The previous prime is 10010121983. The next prime is 10010122037. The reversal of 10010122002 is 20022101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 7154499 + ... + 7155897.

It is an arithmetic number, because the mean of its divisors is an integer number (243652500).

Almost surely, 210010122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320000).

10010122002 is an abundant number, since it is smaller than the sum of its proper divisors (13380517998).

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

10010122002 is a wasteful number, since it uses less digits than its factorization.

10010122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010122002 its reverse (20022101001), we get a palindrome (30032223003).

The spelling of 10010122002 in words is "ten billion, ten million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 349 402 603 698 1047 1139 1206 1399 2094 2278 2798 3141 3417 4197 5933 6282 6834 8394 10251 11866 12591 17799 20502 23383 23783 25182 35598 46766 47566 53397 70149 71349 93733 106794 140298 142698 187466 210447 214047 281199 397511 420894 428094 488251 562398 795022 843597 976502 1192533 1464753 1593461 1687194 2385066 2929506 3186922 3577599 4394259 4780383 7155198 8300267 8788518 9560766 14341149 16600534 24900801 28682298 32712817 49801602 65425634 74702403 98138451 149404806 196276902 294415353 556117889 588830706 1112235778 1668353667 3336707334 5005061001 10010122002