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222130120100 = 225271590719949
BaseRepresentation
bin1100111011011111111…
…1001010010110100100
3210020100122000021012012
43032313333022112210
512114410302320400
6250013431213352
722022406603410
oct3166777122644
9706318007165
10222130120100
1186228730a59
1237072b17258
1317c400cc4b5
14aa73253d40
155ba1206d35
hex33b7fca5a4

222130120100 has 72 divisors (see below), whose sum is σ = 550944945600. Its totient is φ = 76150293120.

The previous prime is 222130119983. The next prime is 222130120123. The reversal of 222130120100 is 1021031222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11124926 + ... + 11144874.

Almost surely, 2222130120100 is an apocalyptic number.

222130120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222130120100 is an abundant number, since it is smaller than the sum of its proper divisors (328814825500).

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

222130120100 is a wasteful number, since it uses less digits than its factorization.

222130120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35877 (or 35870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 222130120100 its reverse (1021031222), we get a palindrome (223151151322).

The spelling of 222130120100 in words is "two hundred twenty-two billion, one hundred thirty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 15907 19949 31814 39898 63628 79535 79796 99745 111349 139643 159070 199490 222698 279286 318140 397675 398980 445396 498725 556745 558572 698215 795350 997450 1113490 1396430 1590700 1994900 2226980 2783725 2792860 3491075 5567450 6982150 11134900 13964300 317328743 634657486 1269314972 1586643715 2221301201 3173287430 4442602402 6346574860 7933218575 8885204804 11106506005 15866437150 22213012010 31732874300 44426024020 55532530025 111065060050 222130120100