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22100331132 = 2232111393311213
BaseRepresentation
bin10100100101010010…
…000100101001111100
32010001012200010220200
4110211102010221330
5330230141044012
614052554443500
71411444500165
oct244522045174
963035603820
1022100331132
119411073980
124349433590
132112880419
1410d921a76c
1589534b3dc
hex525484a7c

22100331132 has 144 divisors (see below), whose sum is σ = 61617978240. Its totient is φ = 6623337600.

The previous prime is 22100331101. The next prime is 22100331151. The reversal of 22100331132 is 23113300122.

It is a super-2 number, since 2×221003311322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 18218958 + ... + 18220170.

Almost surely, 222100331132 is an apocalyptic number.

22100331132 is a gapful number since it is divisible by the number (22) 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 22100331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808989120).

22100331132 is an abundant number, since it is smaller than the sum of its proper divisors (39517647108).

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

22100331132 is a wasteful number, since it uses less digits than its factorization.

22100331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22100331132 its reverse (23113300122), we get a palindrome (45213631254).

The spelling of 22100331132 in words is "twenty-two billion, one hundred million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 331 396 417 556 662 834 993 1213 1251 1324 1529 1668 1986 2426 2502 2979 3058 3639 3641 3972 4587 4852 5004 5958 6116 7278 7282 9174 10917 10923 11916 13343 13761 14556 14564 18348 21834 21846 26686 27522 32769 40029 43668 43692 46009 53372 55044 65538 80058 92018 120087 131076 138027 160116 168607 184036 240174 276054 337214 401503 414081 480348 505821 506099 552108 674428 803006 828162 1011642 1012198 1204509 1517463 1518297 1606012 1656324 1854677 2023284 2024396 2409018 3034926 3036594 3613527 3709354 4416533 4554891 4818036 5564031 6069852 6073188 7227054 7418708 8833066 9109782 11128062 13249599 14454108 16692093 17666132 18219564 22256124 26499198 33384186 39748797 52998396 55808917 66768372 79497594 111617834 158995188 167426751 223235668 334853502 502280253 613898087 669707004 1004560506 1227796174 1841694261 2009121012 2455592348 3683388522 5525082783 7366777044 11050165566 22100331132