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21400035132 = 223717137109387
BaseRepresentation
bin10011111011100010…
…101001111100111100
32001020101221102101210
4103323202221330330
5322311402111012
613455301004420
71355212203660
oct237342517474
961211842353
1021400035132
119091842153
1241929b3710
1320307693a8
1410702068a0
15853b1b23c
hex4fb8a9f3c

21400035132 has 96 divisors (see below), whose sum is σ = 60865233408. Its totient is φ = 5712574464.

The previous prime is 21400035127. The next prime is 21400035133. The reversal of 21400035132 is 23153000412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21400035099 and 21400035108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21400035133) 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, 140943 + ... + 250329.

It is an arithmetic number, because the mean of its divisors is an integer number (634012848).

Almost surely, 221400035132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21400035132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30432616704).

21400035132 is an abundant number, since it is smaller than the sum of its proper divisors (39465198276).

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

21400035132 is a wasteful number, since it uses less digits than its factorization.

21400035132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109555 (or 109553 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 21400035132 its reverse (23153000412), we get a palindrome (44553035544).

The spelling of 21400035132 in words is "twenty-one billion, four hundred million, thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 137 204 238 274 357 411 476 548 714 822 959 1428 1644 1918 2329 2877 3836 4658 5754 6987 9316 11508 13974 16303 27948 32606 48909 65212 97818 109387 195636 218774 328161 437548 656322 765709 1312644 1531418 1859579 2297127 3062836 3719158 4594254 5578737 7438316 9188508 11157474 13017053 14986019 22314948 26034106 29972038 39051159 44958057 52068212 59944076 78102318 89916114 104902133 156204636 179832228 209804266 254762323 314706399 419608532 509524646 629412798 764286969 1019049292 1258825596 1528573938 1783336261 3057147876 3566672522 5350008783 7133345044 10700017566 21400035132