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109619925921 = 321127921272
BaseRepresentation
bin110011000010111011…
…0110101001110100001
3101110221121020012202100
41212011312311032201
53244000200112141
6122205251241013
710630324665522
oct1460566651641
9343847205670
10109619925921
1142542654900
12192b35a9169
13a44c8440bc
14543c928849
152cb8a6d0b6
hex1985db53a1

109619925921 has 81 divisors (see below), whose sum is σ = 177672899313. Its totient is φ = 65078853840.

The previous prime is 109619925911. The next prime is 109619925977. The reversal of 109619925921 is 129529916901.

The square root of 109619925921 is 331089.

It is a perfect power (a square), and thus also a powerful number.

109619925921 is a `hidden beast` number, since 10 + 9 + 619 + 9 + 2 + 5 + 9 + 2 + 1 = 666.

It is not a de Polignac number, because 109619925921 - 29 = 109619925409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109619925911) 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 80 ways as a sum of consecutive naturals, for example, 863148960 + ... + 863149086.

Almost surely, 2109619925921 is an apocalyptic number.

109619925921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

109619925921 is the 331089-th square number.

109619925921 is the 165545-th centered octagonal number.

It is an amenable number.

109619925921 is a deficient number, since it is larger than the sum of its proper divisors (68052973392).

109619925921 is an equidigital number, since it uses as much as digits as its factorization.

109619925921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 54.

The spelling of 109619925921 in words is "one hundred nine billion, six hundred nineteen million, nine hundred twenty-five thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 79 99 121 127 237 363 381 711 869 1089 1143 1397 2607 4191 6241 7821 9559 10033 12573 15367 16129 18723 28677 30099 46101 48387 56169 68651 86031 90297 110363 138303 145161 177419 205953 331089 532257 617859 755161 792607 993267 1213993 1274191 1596771 1951609 2265483 2377821 3641979 3822573 5854827 6796449 7133463 8718677 10925937 11467719 14016101 17564481 26156031 42048303 78468093 95905447 100661089 126144909 154177111 287716341 301983267 462531333 863149023 905949801 1107271979 1387593999 3321815937 9965447811 12179991769 36539975307 109619925921