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21002221312 = 282910912593
BaseRepresentation
bin10011100011110101…
…000111011100000000
32000012200101101102121
4103203311013130000
5321003032040222
613352010254024
71342311635632
oct234365073400
960180341377
1021002221312
1189a822a7a6
1240a1727314
131c99211bb7
141033450a52
1582dc3a5c7
hex4e3d47700

21002221312 has 72 divisors (see below), whose sum is σ = 43424493840. Its totient is φ = 10125803520.

The previous prime is 21002221309. The next prime is 21002221333. The reversal of 21002221312 is 21312220012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8098288 + ... + 8100880.

It is an arithmetic number, because the mean of its divisors is an integer number (603117970).

Almost surely, 221002221312 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 21002221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21712246920).

21002221312 is an abundant number, since it is smaller than the sum of its proper divisors (22422272528).

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

21002221312 is a wasteful number, since it uses less digits than its factorization.

21002221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21002221312 its reverse (21312220012), we get a palindrome (42314441324).

The spelling of 21002221312 in words is "twenty-one billion, two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1091 1856 2182 2593 3712 4364 5186 7424 8728 10372 17456 20744 31639 34912 41488 63278 69824 75197 82976 126556 139648 150394 165952 253112 279296 300788 331904 506224 601576 663808 1012448 1203152 2024896 2406304 2828963 4049792 4812608 5657926 8099584 9625216 11315852 19250432 22631704 45263408 82039927 90526816 164079854 181053632 328159708 362107264 656319416 724214528 1312638832 2625277664 5250555328 10501110656 21002221312