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21312201000 = 2335353134039
BaseRepresentation
bin10011110110010011…
…100110000100101000
32001000021122222121210
4103312103212010220
5322121410413000
613442442233120
71353064501536
oct236623460450
961007588553
1021312201000
119047200062
1241694b57a0
1320184c522c
1410626a1156
1584b06b350
hex4f64e6128

21312201000 has 128 divisors (see below), whose sum is σ = 67749177600. Its totient is φ = 5575980800.

The previous prime is 21312200999. The next prime is 21312201017. The reversal of 21312201000 is 10221312.

It is a super-2 number, since 2×213122010002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91981 + ... + 226019.

It is an arithmetic number, because the mean of its divisors is an integer number (529290450).

Almost surely, 221312201000 is an apocalyptic number.

21312201000 is a gapful number since it is divisible by the number (20) 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 21312201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33874588800).

21312201000 is an abundant number, since it is smaller than the sum of its proper divisors (46436976600).

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

21312201000 is a wasteful number, since it uses less digits than its factorization.

21312201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134116 (or 134102 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21312201000 its reverse (10221312), we get a palindrome (21322422312).

The spelling of 21312201000 in words is "twenty-one billion, three hundred twelve million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 15900 19875 26500 31800 39750 53000 79500 134039 159000 268078 402117 536156 670195 804234 1072312 1340390 1608468 2010585 2680780 3216936 3350975 4021170 5361560 6701950 7104067 8042340 10052925 13403900 14208134 16084680 16754875 20105850 21312201 26807800 28416268 33509750 35520335 40211700 42624402 50264625 56832536 67019500 71040670 80423400 85248804 100529250 106561005 134039000 142081340 170497608 177601675 201058500 213122010 284162680 355203350 402117000 426244020 532805025 710406700 852488040 888008375 1065610050 1420813400 1776016750 2131220100 2664025125 3552033500 4262440200 5328050250 7104067000 10656100500 21312201000