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12210100100 = 22521167165673
BaseRepresentation
bin10110101111100011…
…10101011110000100
31011111221110100111122
423113301311132010
5200001241200400
65335332453112
7611402065322
oct132761653604
934457410448
1012210100100
1151a6312a20
12244917a198
1311c7847103
1483b8acd12
154b6e22685
hex2d7c75784

12210100100 has 72 divisors (see below), whose sum is σ = 29336226528. Its totient is φ = 4373740800.

The previous prime is 12210100081. The next prime is 12210100109. The reversal of 12210100100 is 100101221.

It is not an unprimeable number, because it can be changed into a prime (12210100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9137 + ... + 156536.

Almost surely, 212210100100 is an apocalyptic number.

12210100100 is a gapful number since it is divisible by the number (10) 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 12210100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668113264).

12210100100 is an abundant number, since it is smaller than the sum of its proper divisors (17126126428).

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

12210100100 is a wasteful number, since it uses less digits than its factorization.

12210100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165765 (or 165758 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12210100100 its reverse (100101221), we get a palindrome (12310201321).

The spelling of 12210100100 in words is "twelve billion, two hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 165673 331346 662692 828365 1656730 1822403 3313460 3644806 4141825 7289612 8283650 9112015 11100091 16567300 18224030 22200182 36448060 44400364 45560075 55500455 91120150 111000910 122101001 182240300 222001820 244202002 277502275 488404004 555004550 610505005 1110009100 1221010010 2442020020 3052525025 6105050050 12210100100