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107022280232 = 23727930711257
BaseRepresentation
bin110001110101100000…
…1100110011000101000
3101020020120022010202202
41203223001212120220
53223140200431412
6121055414515332
710506053241500
oct1435301463050
9336216263682
10107022280232
114142a31818a
12188a9665b48
13a12761694a
14527393aa00
152bb59a53c2
hex18eb066628

107022280232 has 96 divisors (see below), whose sum is σ = 237174537600. Its totient is φ = 45134578944.

The previous prime is 107022280171. The next prime is 107022280241. The reversal of 107022280232 is 232082220701.

It is a super-2 number, since 2×1070222802322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107022280195 and 107022280204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9501548 + ... + 9512804.

It is an arithmetic number, because the mean of its divisors is an integer number (2470568100).

Almost surely, 2107022280232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107022280232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118587268800).

107022280232 is an abundant number, since it is smaller than the sum of its proper divisors (130152257368).

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

107022280232 is a wasteful number, since it uses less digits than its factorization.

107022280232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11663 (or 11652 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 107022280232 in words is "one hundred seven billion, twenty-two million, two hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 307 316 392 553 614 632 1106 1228 2149 2212 2456 3871 4298 4424 7742 8596 11257 15043 15484 17192 22514 24253 30086 30968 45028 48506 60172 78799 90056 97012 120344 157598 169771 194024 315196 339542 551593 630392 679084 889303 1103186 1188397 1358168 1778606 2206372 2376794 3455899 3557212 4412744 4753588 6225121 6911798 7114424 9507176 12450242 13823596 24191293 24900484 27647192 43575847 48382586 49800968 87151694 96765172 169339051 174303388 193530344 273016021 338678102 348606776 546032042 677356204 1092064084 1354712408 1911112147 2184128168 3822224294 7644448588 13377785029 15288897176 26755570058 53511140116 107022280232