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21102320320 = 2651731112473
BaseRepresentation
bin10011101001110010…
…111101101011000000
32000110122201221110021
4103221302331223000
5321204143222240
613405543543224
71344635522524
oct235162755300
960418657407
1021102320320
118a49789654
12410b15ab14
131cb3b8b793
141042869d84
1583790e54a
hex4e9cbdac0

21102320320 has 112 divisors (see below), whose sum is σ = 53381135808. Its totient is φ = 7918223360.

The previous prime is 21102320243. The next prime is 21102320359. The reversal of 21102320320 is 2302320112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21102320294 and 21102320303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1685604 + ... + 1698076.

It is an arithmetic number, because the mean of its divisors is an integer number (476617284).

Almost surely, 221102320320 is an apocalyptic number.

21102320320 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 21102320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26690567904).

21102320320 is an abundant number, since it is smaller than the sum of its proper divisors (32278815488).

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

21102320320 is a wasteful number, since it uses less digits than its factorization.

21102320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12818 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21102320320 its reverse (2302320112), we get a palindrome (23404640432).

The spelling of 21102320320 in words is "twenty-one billion, one hundred two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 311 320 340 544 622 680 1088 1244 1360 1555 2488 2720 3110 4976 5287 5440 6220 9952 10574 12440 12473 19904 21148 24880 24946 26435 42296 49760 49892 52870 62365 84592 99520 99784 105740 124730 169184 199568 211480 212041 249460 338368 399136 422960 424082 498920 798272 845920 848164 997840 1060205 1691840 1696328 1995680 2120410 3392656 3879103 3991360 4240820 6785312 7758206 8481640 13570624 15516412 16963280 19395515 31032824 33926560 38791030 62065648 65944751 67853120 77582060 124131296 131889502 155164120 248262592 263779004 310328240 329723755 527558008 620656480 659447510 1055116016 1241312960 1318895020 2110232032 2637790040 4220464064 5275580080 10551160160 21102320320