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21153131400 = 23352254913831
BaseRepresentation
bin10011101100110100…
…110010101110001000
32000121012100102011010
4103230310302232020
5321310200201100
613415001003520
71346123436012
oct235464625610
960535312133
1021153131400
118a75433785
1241241835a0
131cc156c0cb
1410494d51b2
1583c0e9750
hex4ecd32b88

21153131400 has 96 divisors (see below), whose sum is σ = 65605176000. Its totient is φ = 5638214400.

The previous prime is 21153131383. The next prime is 21153131401. The reversal of 21153131400 is 413135112.

It is not an unprimeable number, because it can be changed into a prime (21153131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522485 + ... + 1536315.

It is an arithmetic number, because the mean of its divisors is an integer number (683387250).

Almost surely, 221153131400 is an apocalyptic number.

21153131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21153131400 is an abundant number, since it is smaller than the sum of its proper divisors (44452044600).

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

21153131400 is a wasteful number, since it uses less digits than its factorization.

21153131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16399 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 21153131400 its reverse (413135112), we get a palindrome (21566266512).

The spelling of 21153131400 in words is "twenty-one billion, one hundred fifty-three million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2549 5098 7647 10196 12745 13831 15294 20392 25490 27662 30588 38235 41493 50980 55324 61176 63725 69155 76470 82986 101960 110648 127450 138310 152940 165972 191175 207465 254900 276620 305880 331944 345775 382350 414930 509800 553240 691550 764700 829860 1037325 1383100 1529400 1659720 2074650 2766200 4149300 8298600 35255219 70510438 105765657 141020876 176276095 211531314 282041752 352552190 423062628 528828285 705104380 846125256 881380475 1057656570 1410208760 1762760950 2115313140 2644141425 3525521900 4230626280 5288282850 7051043800 10576565700 21153131400