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10044201120 = 2535171230907
BaseRepresentation
bin10010101101010111…
…00101100010100000
3221220222221021122220
421112223211202200
5131032303413440
64340402031040
7503622205122
oct112653454240
927828837586
1010044201120
114294764a68
121b43948480
13c40bc5295
146b3d8b212
153dbbde8d0
hex256ae58a0

10044201120 has 96 divisors (see below), whose sum is σ = 33500392128. Its totient is φ = 2520895488.

The previous prime is 10044201119. The next prime is 10044201143. The reversal of 10044201120 is 2110244001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100442011202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10044201120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607294 + ... + 623613.

It is an arithmetic number, because the mean of its divisors is an integer number (348962418).

Almost surely, 210044201120 is an apocalyptic number.

10044201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044201120 is an abundant number, since it is smaller than the sum of its proper divisors (23456191008).

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

10044201120 is a wasteful number, since it uses less digits than its factorization.

10044201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230942 (or 1230934 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10044201120 its reverse (2110244001), we get a palindrome (12154445121).

The spelling of 10044201120 in words is "ten billion, forty-four million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 1230907 2461814 3692721 4923628 6154535 7385442 9847256 12309070 14770884 18463605 19694512 20925419 24618140 29541768 36927210 39389024 41850838 49236280 59083536 62776257 73854420 83701676 98472560 104627095 118167072 125552514 147708840 167403352 196945120 209254190 251105028 295417680 313881285 334806704 418508380 502210056 590835360 627762570 669613408 837016760 1004420112 1255525140 1674033520 2008840224 2511050280 3348067040 5022100560 10044201120