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22100132010 = 23511418918353
BaseRepresentation
bin10100100101010001…
…010100000010101010
32010001012022000202210
4110211101110002222
5330230113211020
614052550305550
71411443010515
oct244521240252
963035260683
1022100132010
119410a48310
1243493582b6
1321128108b8
1410d91a7d7c
1589530c3e0
hex5254540aa

22100132010 has 128 divisors (see below), whose sum is σ = 59942695680. Its totient is φ = 5167923200.

The previous prime is 22100132009. The next prime is 22100132023. The reversal of 22100132010 is 1023100122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194994 + ... + 1213346.

It is an arithmetic number, because the mean of its divisors is an integer number (468302310).

Almost surely, 222100132010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29971347840).

22100132010 is an abundant number, since it is smaller than the sum of its proper divisors (37842563670).

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

22100132010 is a wasteful number, since it uses less digits than its factorization.

22100132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504.

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

Adding to 22100132010 its reverse (1023100122), we get a palindrome (23123232132).

The spelling of 22100132010 in words is "twenty-two billion, one hundred million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 89 110 123 165 178 205 246 267 330 410 445 451 534 615 890 902 979 1230 1335 1353 1958 2255 2670 2706 2937 3649 4510 4895 5874 6765 7298 9790 10947 13530 14685 18245 18353 21894 29370 36490 36706 40139 54735 55059 80278 91765 109470 110118 120417 183530 200695 201883 240834 275295 401390 403766 550590 602085 605649 752473 1009415 1204170 1211298 1504946 1633417 2018830 2257419 3028245 3266834 3762365 4514838 4900251 6056490 7524730 8167085 8277203 9800502 11287095 16334170 16554406 17967587 22574190 24501255 24831609 35935174 41386015 49002510 49663218 53902761 66970097 82772030 89837935 107805522 124158045 133940194 179675870 200910291 248316090 269513805 334850485 401820582 539027610 669700970 736671067 1004551455 1473342134 2009102910 2210013201 3683355335 4420026402 7366710670 11050066005 22100132010