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21130211025312 = 2538921371157279
BaseRepresentation
bin1001100110111110000101…
…01110001110000110100000
32202211000202201220101001220
410303133002232032012200
510232144133010302222
6112535030202455040
74310415220152264
oct463370256160640
982730681811056
1021130211025312
1168072aa295544
122453214b04480
13ba375509b83c
145309c9bc20a4
152699a2c46b5c
hex1337c2b8e1a0

21130211025312 has 96 divisors (see below), whose sum is σ = 56116322035200. Its totient is φ = 6960999395328.

The previous prime is 21130211025173. The next prime is 21130211025403. The reversal of 21130211025312 is 21352011203112.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17679889 + ... + 18837167.

It is an arithmetic number, because the mean of its divisors is an integer number (584545021200).

Almost surely, 221130211025312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130211025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28058161017600).

21130211025312 is an abundant number, since it is smaller than the sum of its proper divisors (34986111009888).

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

21130211025312 is a wasteful number, since it uses less digits than its factorization.

21130211025312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159518 (or 1159510 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 21130211025312 its reverse (21352011203112), we get a palindrome (42482222228424).

The spelling of 21130211025312 in words is "twenty-one trillion, one hundred thirty billion, two hundred eleven million, twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2137 2848 4272 4274 6411 8544 8548 12822 17096 25644 34192 51288 68384 102576 190193 205152 380386 570579 760772 1141158 1157279 1521544 2282316 2314558 3043088 3471837 4564632 4629116 6086176 6943674 9129264 9258232 13887348 18258528 18516464 27774696 37032928 55549392 102997831 111098784 205995662 308993493 411991324 617986986 823982648 1235973972 1647965296 2471947944 2473105223 3295930592 4943895888 4946210446 7419315669 9887791776 9892420892 14838631338 19784841784 29677262676 39569683568 59354525352 79139367136 118709050704 220106364847 237418101408 440212729694 660319094541 880425459388 1320638189082 1760850918776 2641276378164 3521701837552 5282552756328 7043403675104 10565105512656 21130211025312