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222013313001020 = 225194712697979031
BaseRepresentation
bin110010011110101110000000…
…101010000010011000111100
31002010002021011111200221100002
4302132232000222002120330
5213044431231112013040
62104103301420253432
764522634601440522
oct6236560052023074
91063067144627302
10222013313001020
116481635434a952
1220a978013a1278
1396b59c4ca9278
143cb7704896312
151aa0120a80a15
hexc9eb80a8263c

222013313001020 has 96 divisors (see below), whose sum is σ = 501248092907520. Its totient is φ = 82334762565120.

The previous prime is 222013313001019. The next prime is 222013313001049. The reversal of 222013313001020 is 20100313310222.

It is a super-2 number, since 2×2220133130010202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222013313000983 and 222013313001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226278905 + ... + 227257935.

It is an arithmetic number, because the mean of its divisors is an integer number (5221334301120).

Almost surely, 2222013313001020 is an apocalyptic number.

222013313001020 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 222013313001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250624046453760).

222013313001020 is an abundant number, since it is smaller than the sum of its proper divisors (279234779906500).

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

222013313001020 is a wasteful number, since it uses less digits than its factorization.

222013313001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991803 (or 991801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 222013313001020 its reverse (20100313310222), we get a palindrome (242113626311242).

The spelling of 222013313001020 in words is "two hundred twenty-two trillion, thirteen billion, three hundred thirteen million, one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 12697 17860 25394 50788 63485 126970 241243 253940 482486 596759 964972 979031 1193518 1206215 1958062 2387036 2412430 2983795 3916124 4824860 4895155 5967590 9790310 11338421 11935180 18601589 19580620 22676842 37203178 45353684 46014457 56692105 74406356 92028914 93007945 113384210 184057828 186015890 226768420 230072285 372031780 460144570 874274683 920289140 1748549366 3497098732 4371373415 8742746830 12430756607 17485493660 24861513214 49723026428 62153783035 124307566070 236184375533 248615132140 472368751066 584245560529 944737502132 1168491121058 1180921877665 2336982242116 2361843755330 2921227802645 4723687510660 5842455605290 11100665650051 11684911210580 22201331300102 44402662600204 55503328250255 111006656500510 222013313001020