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10501201704 = 23371072292551
BaseRepresentation
bin10011100011110101…
…11001111100101000
31000002211212022121110
421301322321330220
5133001301423304
64454005110320
7521141512260
oct116172717450
930084768543
1010501201704
1144a97222a4
1220509b83a0
13cb47a3526
1471894c7a0
15416db2289
hex271eb9f28

10501201704 has 128 divisors (see below), whose sum is σ = 30428006400. Its totient is φ = 2958163200.

The previous prime is 10501201703. The next prime is 10501201717. The reversal of 10501201704 is 40710210501.

It is a happy number.

It is a super-2 number, since 2×105012017042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10501201703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4115229 + ... + 4117779.

It is an arithmetic number, because the mean of its divisors is an integer number (237718800).

Almost surely, 210501201704 is an apocalyptic number.

10501201704 is a gapful number since it is divisible by the number (14) 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 10501201704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214003200).

10501201704 is an abundant number, since it is smaller than the sum of its proper divisors (19926804696).

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

10501201704 is a wasteful number, since it uses less digits than its factorization.

10501201704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The spelling of 10501201704 in words is "ten billion, five hundred one million, two hundred one thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 229 321 428 458 642 687 749 856 916 1284 1374 1498 1603 1832 2247 2551 2568 2748 2996 3206 4494 4809 5102 5496 5992 6412 7653 8988 9618 10204 12824 15306 17857 17976 19236 20408 24503 30612 35714 38472 49006 53571 61224 71428 73509 98012 107142 142856 147018 171521 196024 214284 272957 294036 343042 428568 514563 545914 584179 588072 686084 818871 1029126 1091828 1168358 1372168 1637742 1752537 1910699 2058252 2183656 2336716 3275484 3505074 3821398 4089253 4116504 4673432 5732097 6550968 7010148 7642796 8178506 11464194 12267759 14020296 15285592 16357012 22928388 24535518 32714024 45856776 49071036 62507153 98142072 125014306 187521459 250028612 375042918 437550071 500057224 750085836 875100142 1312650213 1500171672 1750200284 2625300426 3500400568 5250600852 10501201704