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21202233312 = 2531378721587
BaseRepresentation
bin10011101111110000…
…000110011111100000
32000201121202001022110
4103233300012133200
5321410232431222
613423513235320
71350261003201
oct235760063740
960647661273
1021202233312
118aa0120777
124138702b40
131ccb7a17b0
141051c375a8
1584159830c
hex4efc067e0

21202233312 has 96 divisors (see below), whose sum is σ = 60016021632. Its totient is φ = 6515172864.

The previous prime is 21202233307. The next prime is 21202233329. The reversal of 21202233312 is 21333220212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 971383 + ... + 992969.

It is an arithmetic number, because the mean of its divisors is an integer number (625166892).

Almost surely, 221202233312 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 21202233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008010816).

21202233312 is an abundant number, since it is smaller than the sum of its proper divisors (38813788320).

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

21202233312 is a wasteful number, since it uses less digits than its factorization.

21202233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22400 (or 22392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21202233312 its reverse (21333220212), we get a palindrome (42535453524).

The spelling of 21202233312 in words is "twenty-one billion, two hundred two million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 787 1248 1574 2361 3148 4722 6296 9444 10231 12592 18888 20462 21587 25184 30693 37776 40924 43174 61386 64761 75552 81848 86348 122772 129522 163696 172696 245544 259044 280631 327392 345392 491088 518088 561262 690784 841893 982176 1036176 1122524 1683786 2072352 2245048 3367572 4490096 6735144 8980192 13470288 16988969 26940576 33977938 50966907 67955876 101933814 135911752 203867628 220856597 271823504 407735256 441713194 543647008 662569791 815470512 883426388 1325139582 1630941024 1766852776 2650279164 3533705552 5300558328 7067411104 10601116656 21202233312