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22071332822130 = 2335457261768351
BaseRepresentation
bin1010000010010111000011…
…11100111101110001110010
32220010222222010121011202000
411001023201330331301302
510343104042200302010
6114535232541034430
74435413126351264
oct501134174756162
986128863534660
1022071332822130
11703a443a85989
1225856a4855a16
13c414191500a7
14564388749b34
152841d54997c0
hex1412e1f3dc72

22071332822130 has 128 divisors (see below), whose sum is σ = 59009079951360. Its totient is φ = 5870479795200.

The previous prime is 22071332822113. The next prime is 22071332822179. The reversal of 22071332822130 is 3122823317022.

22071332822130 is a `hidden beast` number, since 2 + 2 + 0 + 71 + 332 + 8 + 221 + 30 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322877455 + ... + 322945805.

It is an arithmetic number, because the mean of its divisors is an integer number (461008437120).

Almost surely, 222071332822130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22071332822130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29504539975680).

22071332822130 is an abundant number, since it is smaller than the sum of its proper divisors (36937747129230).

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

22071332822130 is a wasteful number, since it uses less digits than its factorization.

22071332822130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71441 (or 71435 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22071332822130 in words is "twenty-two trillion, seventy-one billion, three hundred thirty-two million, eight hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 457 914 1371 2285 2617 2742 4113 4570 5234 6855 7851 8226 12339 13085 13710 15702 20565 23553 24678 26170 39255 41130 47106 61695 68351 70659 78510 117765 123390 136702 141318 205053 235530 341755 353295 410106 615159 683510 706590 1025265 1195969 1230318 1845477 2050530 2391938 3075795 3587907 3690954 5979845 6151590 7175814 9227385 10763721 11959690 17939535 18454770 21527442 31236407 32291163 35879070 53818605 62472814 64582326 93709221 107637210 156182035 161455815 178874567 187418442 281127663 312364070 322911630 357749134 468546105 536623701 562255326 843382989 894372835 937092210 1073247402 1405638315 1609871103 1686765978 1788745670 2683118505 2811276630 3219742206 4216914945 4829613309 5366237010 8049355515 8433829890 9659226618 16098711030 24148066545 48296133090 81745677119 163491354238 245237031357 408728385595 490474062714 735711094071 817456771190 1226185156785 1471422188142 2207133282213 2452370313570 3678555470355 4414266564426 7357110940710 11035666411065 22071332822130