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1221422100 = 223525376819
BaseRepresentation
bin100100011001101…
…0110110000010100
310011010022200010120
41020303112300110
510000141001400
6321111151540
742160626243
oct11063266024
93133280116
101221422100
11577508558
122a10755b0
13166084c92
14b830895a
157236cca0
hex48cd6c14

1221422100 has 72 divisors (see below), whose sum is σ = 3600707040. Its totient is φ = 319562880.

The previous prime is 1221422053. The next prime is 1221422113. The reversal of 1221422100 is 12241221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221422100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 22510 + ... + 54309.

It is an arithmetic number, because the mean of its divisors is an integer number (50009820).

Almost surely, 21221422100 is an apocalyptic number.

1221422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221422100 is an abundant number, since it is smaller than the sum of its proper divisors (2379284940).

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

1221422100 is a wasteful number, since it uses less digits than its factorization.

1221422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76889 (or 76882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1221422100 is about 34948.8497664802. The cubic root of 1221422100 is about 1068.9447482048.

Adding to 1221422100 its reverse (12241221), we get a palindrome (1233663321).

The spelling of 1221422100 in words is "one billion, two hundred twenty-one million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 76819 153638 230457 307276 384095 460914 768190 921828 1152285 1536380 1920475 2304570 3840950 4071407 4609140 5761425 7681900 8142814 11522850 12214221 16285628 20357035 23045700 24428442 40714070 48856884 61071105 81428140 101785175 122142210 203570350 244284420 305355525 407140700 610711050 1221422100