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21313112130 = 2325893138501
BaseRepresentation
bin10011110110010111…
…000100100001000010
32001000100101021110100
4103312113010201002
5322122124042010
613442513543230
71353105315102
oct236627044102
961010337410
1021313112130
119047772662
124169874b16
132018753b6b
14106285b202
1584b19b2c0
hex4f65c4842

21313112130 has 96 divisors (see below), whose sum is σ = 56222365680. Its totient is φ = 5601024000.

The previous prime is 21313112099. The next prime is 21313112147. The reversal of 21313112130 is 3121131312.

It can be written as a sum of positive squares in 8 ways, for example, as 54597321 + 21258514809 = 7389^2 + 145803^2 .

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

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, 2502880 + ... + 2511380.

Almost surely, 221313112130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111182840).

21313112130 is an abundant number, since it is smaller than the sum of its proper divisors (34909253550).

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

21313112130 is a wasteful number, since it uses less digits than its factorization.

21313112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21313112130 its reverse (3121131312), we get a palindrome (24434243442).

The spelling of 21313112130 in words is "twenty-one billion, three hundred thirteen million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 313 445 534 626 801 890 939 1335 1565 1602 1878 2670 2817 3130 4005 4695 5634 8010 8501 9390 14085 17002 25503 27857 28170 42505 51006 55714 76509 83571 85010 127515 139285 153018 167142 250713 255030 278570 382545 417855 501426 756589 765090 835710 1253565 1513178 2269767 2507130 2660813 3782945 4539534 5321626 6809301 7565890 7982439 11348835 13304065 13618602 15964878 22697670 23947317 26608130 34046505 39912195 47894634 68093010 79824390 119736585 236812357 239473170 473624714 710437071 1184061785 1420874142 2131311213 2368123570 3552185355 4262622426 7104370710 10656556065 21313112130