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21303520542120 = 23351811645159621
BaseRepresentation
bin1001101100000000111001…
…10001100011110110101000
32210102121002222100000202210
410312000130301203312220
510243014102224321440
6113150411403125120
74326062045560425
oct466003461436650
983377088300683
1021303520542120
116873854a67673
122480921b137a0
13bb6bb488a89b
1453914b1d0d4c
1526e247dc4a80
hex13601cc63da8

21303520542120 has 128 divisors (see below), whose sum is σ = 64268642954880. Its totient is φ = 5649114240000.

The previous prime is 21303520542097. The next prime is 21303520542127. The reversal of 21303520542120 is 2124502530312.

It is a super-4 number, since 4×213035205421204 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21303520542127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357285910 + ... + 357345530.

It is an arithmetic number, because the mean of its divisors is an integer number (502098773085).

Almost surely, 221303520542120 is an apocalyptic number.

21303520542120 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 21303520542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32134321477440).

21303520542120 is an abundant number, since it is smaller than the sum of its proper divisors (42965122412760).

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

21303520542120 is a wasteful number, since it uses less digits than its factorization.

21303520542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76267 (or 76263 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 21303520542120 in words is "twenty-one trillion, three hundred three billion, five hundred twenty million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 7240 10860 16451 21720 32902 49353 59621 65804 82255 98706 119242 131608 164510 178863 197412 238484 246765 298105 329020 357726 394824 476968 493530 596210 658040 715452 894315 987060 1192420 1430904 1788630 1974120 2384840 2977631 3577260 5955262 7154520 8932893 10791401 11910524 14888155 17865786 21582802 23821048 29776310 32374203 35731572 43165604 44664465 53957005 59552620 64748406 71463144 86331208 89328930 107914010 119105240 129496812 161871015 178657860 215828020 258993624 323742030 357315720 431656040 647484060 980825071 1294968120 1961650142 2942475213 3923300284 4904125355 5884950426 7846600568 9808250710 11769900852 14712376065 19616501420 23539801704 29424752130 39233002840 58849504260 117699008520 177529337851 355058675702 532588013553 710117351404 887646689255 1065176027106 1420234702808 1775293378510 2130352054212 2662940067765 3550586757020 4260704108424 5325880135530 7101173514040 10651760271060 21303520542120