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10220100132 = 22311113685177
BaseRepresentation
bin10011000010010101…
…00101101000100100
3222101020220212202010
421201022211220210
5131412321201012
64410044114220
7511156263204
oct114112455044
928336825663
1010220100132
114374a86550
121b92835970
13c6b491638
146cd498404
153ec387c3c
hex2612a5a24

10220100132 has 48 divisors (see below), whose sum is σ = 26245058112. Its totient is φ = 3069588480.

The previous prime is 10220100131. The next prime is 10220100169. The reversal of 10220100132 is 23100102201.

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 (10220100131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 327673 + ... + 357504.

It is an arithmetic number, because the mean of its divisors is an integer number (546772044).

Almost surely, 210220100132 is an apocalyptic number.

10220100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220100132 is an abundant number, since it is smaller than the sum of its proper divisors (16024957980).

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

10220100132 is a wasteful number, since it uses less digits than its factorization.

10220100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685308 (or 685306 counting only the distinct ones).

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

Adding to 10220100132 its reverse (23100102201), we get a palindrome (33320202333).

The spelling of 10220100132 in words is "ten billion, two hundred twenty million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7458 14916 685177 1370354 2055531 2740708 4111062 7536947 8222124 15073894 22610841 30147788 45221682 77425001 90443364 154850002 232275003 309700004 464550006 851675011 929100012 1703350022 2555025033 3406700044 5110050066 10220100132