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10220001132 = 22311139653853
BaseRepresentation
bin10011000010010100…
…01101011101101100
3222101020201211221110
421201022031131230
5131412310014012
64410042032020
7511155401445
oct114112153554
928336654843
1010220001132
114374a19130
121b927a8610
13c6b458563
146cd4702cc
153ec36873c
hex26128d76c

10220001132 has 96 divisors (see below), whose sum is σ = 26272592640. Its totient is φ = 3066382080.

The previous prime is 10220001119. The next prime is 10220001133. The reversal of 10220001132 is 23110002201.

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

It is not an unprimeable number, because it can be changed into a prime (10220001133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11980818 + ... + 11981670.

It is an arithmetic number, because the mean of its divisors is an integer number (273672840).

Almost surely, 210220001132 is an apocalyptic number.

10220001132 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 10220001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136296320).

10220001132 is an abundant number, since it is smaller than the sum of its proper divisors (16052591508).

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

10220001132 is a wasteful number, since it uses less digits than its factorization.

10220001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1661 counting only the distinct ones).

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

Adding to 10220001132 its reverse (23110002201), we get a palindrome (33330003333).

The spelling of 10220001132 in words is "ten billion, two hundred twenty million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 653 834 853 1306 1529 1668 1706 1959 2559 2612 3058 3412 3918 4587 5118 6116 7183 7836 9174 9383 10236 14366 18348 18766 21549 28149 28732 37532 43098 56298 86196 90767 112596 118567 181534 237134 272301 355701 363068 474268 544602 557009 711402 998437 1089204 1114018 1304237 1422804 1671027 1996874 2228036 2608474 2995311 3342054 3912711 3993748 5216948 5990622 6127099 6684108 7825422 11981244 12254198 15650844 18381297 24508396 36762594 73525188 77424251 154848502 232272753 309697004 464545506 851666761 929091012 1703333522 2555000283 3406667044 5110000566 10220001132