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10022031012 = 22371722931409
BaseRepresentation
bin10010101010101110…
…00000111010100100
3221212110012220222210
421111113000322210
5131011114443022
64334250523420
7503232600210
oct112527007244
927773186883
1010022031012
1142831a2264
121b38436570
13c39432186
146b1059940
153d9cb0a0c
hex2555c0ea4

10022031012 has 144 divisors (see below), whose sum is σ = 28507086720. Its totient is φ = 2683895808.

The previous prime is 10022030983. The next prime is 10022031037. The reversal of 10022031012 is 21013022001.

It is a super-2 number, since 2×100220310122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7112164 + ... + 7113572.

It is an arithmetic number, because the mean of its divisors is an integer number (197965880).

Almost surely, 210022031012 is an apocalyptic number.

10022031012 is a gapful number since it is divisible by the number (12) 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 10022031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253543360).

10022031012 is an abundant number, since it is smaller than the sum of its proper divisors (18485055708).

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

10022031012 is a wasteful number, since it uses less digits than its factorization.

10022031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10022031012 its reverse (21013022001), we get a palindrome (31035053013).

The spelling of 10022031012 in words is "ten billion, twenty-two million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 293 357 476 578 586 714 867 879 1156 1172 1409 1428 1734 1758 2023 2051 2818 3468 3516 4046 4102 4227 4981 5636 6069 6153 8092 8204 8454 9863 9962 12138 12306 14943 16908 19726 19924 23953 24276 24612 29589 29886 34867 39452 47906 59178 59772 69734 71859 84677 95812 104601 118356 139468 143718 167671 169354 209202 254031 287436 335342 338708 407201 412837 418404 503013 508062 592739 670684 814402 825674 1006026 1016124 1185478 1221603 1238511 1628804 1651348 1778217 2012052 2370956 2443206 2477022 2850407 2889859 3556434 4886412 4954044 5700814 5779718 7018229 7112868 8551221 8669577 11401628 11559436 14036458 17102442 17339154 21054687 28072916 34204884 34678308 42109374 49127603 84218748 98255206 119309893 147382809 196510412 238619786 294765618 357929679 477239572 589531236 715859358 835169251 1431718716 1670338502 2505507753 3340677004 5011015506 10022031012