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21134131900 = 2252723257073
BaseRepresentation
bin10011101011101100…
…010100001010111100
32000112212121010201221
4103223230110022330
5321240314210100
613413041443124
71345503104620
oct235354241274
960485533657
1021134131900
118a65737112
1241199404a4
131cba6491bb
141046b8b180
1583a5e501a
hex4ebb142bc

21134131900 has 108 divisors (see below), whose sum is σ = 54791496592. Its totient is φ = 6930823680.

The previous prime is 21134131897. The next prime is 21134131937. The reversal of 21134131900 is 913143112.

It is a super-2 number, since 2×211341319002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341764 + ... + 398836.

Almost surely, 221134131900 is an apocalyptic number.

21134131900 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 21134131900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27395748296).

21134131900 is an abundant number, since it is smaller than the sum of its proper divisors (33657364692).

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

21134131900 is a wasteful number, since it uses less digits than its factorization.

21134131900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57140 (or 57110 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 21134131900 in words is "twenty-one billion, one hundred thirty-four million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 529 575 644 700 805 1058 1150 1610 2116 2300 2645 3220 3703 4025 5290 7406 8050 10580 13225 14812 16100 18515 26450 37030 52900 57073 74060 92575 114146 185150 228292 285365 370300 399511 570730 799022 1141460 1312679 1426825 1598044 1997555 2625358 2853650 3995110 5250716 5707300 6563395 7990220 9188753 9987775 13126790 18377506 19975550 26253580 30191617 32816975 36755012 39951100 45943765 60383234 65633950 91887530 120766468 131267900 150958085 183775060 211341319 229718825 301916170 422682638 459437650 603832340 754790425 845365276 918875300 1056706595 1509580850 2113413190 3019161700 4226826380 5283532975 10567065950 21134131900