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21311062420 = 2253747213037
BaseRepresentation
bin10011110110001111…
…010000000110010100
32001000012112010210011
4103312033100012110
5322121112444140
613442402010004
71353052020214
oct236617200624
961005463704
1021311062420
1190465a268a
124169046904
1320181b6c0b
141062486244
1584ade3cea
hex4f63d0194

21311062420 has 72 divisors (see below), whose sum is σ = 46965118536. Its totient is φ = 8116943616.

The previous prime is 21311062403. The next prime is 21311062441. The reversal of 21311062420 is 2426011312.

It can be written as a sum of positive squares in 4 ways, for example, as 7593031044 + 13718031376 = 87138^2 + 117124^2 .

It is a super-2 number, since 2×213110624202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21311062391 and 21311062400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1628142 + ... + 1641178.

It is an arithmetic number, because the mean of its divisors is an integer number (652293313).

Almost surely, 221311062420 is an apocalyptic number.

21311062420 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 21311062420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482559268).

21311062420 is an abundant number, since it is smaller than the sum of its proper divisors (25654056116).

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

21311062420 is a wasteful number, since it uses less digits than its factorization.

21311062420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13177 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21311062420 its reverse (2426011312), we get a palindrome (23737073732).

The spelling of 21311062420 in words is "twenty-one billion, three hundred eleven million, sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 2209 3478 4418 6956 8695 8836 11045 13037 17390 22090 26074 34780 44180 52148 65185 81733 130370 163466 260740 326932 408665 482369 612739 817330 964738 1225478 1634660 1929476 2411845 2450956 3063695 4823690 6127390 9647380 12254780 22671343 28798733 45342686 57597466 90685372 113356715 115194932 143993665 226713430 287987330 453426860 575974660 1065553121 2131106242 4262212484 5327765605 10655531210 21311062420