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21156428100 = 22352233119859
BaseRepresentation
bin10011101101000001…
…010111100101000100
32000121102112220101010
4103231001113211010
5321312021144400
613415155402220
71346163446253
oct235501274504
960542486333
1021156428100
118a77285625
1241252b3370
131cc2154812
141049b1279a
1583c54b450
hex4ed057944

21156428100 has 144 divisors (see below), whose sum is σ = 64085898240. Its totient is φ = 5378524800.

The previous prime is 21156428071. The next prime is 21156428101. The reversal of 21156428100 is 182465112.

It is a super-2 number, since 2×211564281002 (a number of 21 digits) contains 22 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 (21156428101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140971 + ... + 2150829.

It is an arithmetic number, because the mean of its divisors is an integer number (445040960).

Almost surely, 221156428100 is an apocalyptic number.

21156428100 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 21156428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32042949120).

21156428100 is an abundant number, since it is smaller than the sum of its proper divisors (42929470140).

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

21156428100 is a wasteful number, since it uses less digits than its factorization.

21156428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10210 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 21156428100 in words is "twenty-one billion, one hundred fifty-six million, four hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 311 345 460 575 622 690 933 1150 1244 1380 1555 1725 1866 2300 3110 3450 3732 4665 6220 6900 7153 7775 9330 9859 14306 15550 18660 19718 21459 23325 28612 29577 31100 35765 39436 42918 46650 49295 59154 71530 85836 93300 98590 107295 118308 143060 147885 178825 197180 214590 226757 246475 295770 357650 429180 453514 492950 536475 591540 680271 715300 739425 907028 985900 1072950 1133785 1360542 1478850 2145900 2267570 2721084 2957700 3066149 3401355 4535140 5668925 6132298 6802710 9198447 11337850 12264596 13605420 15330745 17006775 18396894 22675700 30661490 34013550 36793788 45992235 61322980 68027100 70521427 76653725 91984470 141042854 153307450 183968940 211564281 229961175 282085708 306614900 352607135 423128562 459922350 705214270 846257124 919844700 1057821405 1410428540 1763035675 2115642810 3526071350 4231285620 5289107025 7052142700 10578214050 21156428100