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21204212310 = 23254113941341
BaseRepresentation
bin10011101111110111…
…101001101001010110
32000201202110120222200
4103233313221221112
5321411234243220
613424023505330
71350313554651
oct235767515126
960652416880
1021204212310
118aa1252606
1241392b8246
131ccc0154b8
1410521d0898
15841839890
hex4efde9a56

21204212310 has 96 divisors (see below), whose sum is σ = 56883284640. Its totient is φ = 5476723200.

The previous prime is 21204212261. The next prime is 21204212347. The reversal of 21204212310 is 1321240212.

It is a happy number.

21204212310 is a `hidden beast` number, since 2 + 12 + 0 + 421 + 231 + 0 = 666.

It is a super-2 number, since 2×212042123102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492240 + ... + 533580.

It is an arithmetic number, because the mean of its divisors is an integer number (592534215).

Almost surely, 221204212310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28441642320).

21204212310 is an abundant number, since it is smaller than the sum of its proper divisors (35679072330).

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

21204212310 is a wasteful number, since it uses less digits than its factorization.

21204212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41534 (or 41531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21204212310 its reverse (1321240212), we get a palindrome (22525452522).

The spelling of 21204212310 in words is "twenty-one billion, two hundred four million, two hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 139 205 246 278 369 410 417 615 695 738 834 1230 1251 1390 1845 2085 2502 3690 4170 5699 6255 11398 12510 17097 28495 34194 41341 51291 56990 82682 85485 102582 124023 170970 206705 248046 256455 372069 413410 512910 620115 744138 1240230 1694981 1860345 3389962 3720690 5084943 5746399 8474905 10169886 11492798 15254829 16949810 17239197 25424715 28731995 30509658 34478394 50849430 51717591 57463990 76274145 86195985 103435182 152548290 172391970 235602359 258587955 471204718 517175910 706807077 1178011795 1413614154 2120421231 2356023590 3534035385 4240842462 7068070770 10602106155 21204212310