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97103257430148 = 223231709122722267
BaseRepresentation
bin10110000101000010011101…
…001010100110100010000100
3110201210222110222010012012100
4112011002131022212202010
5100211414432400231043
6542304342020152100
726311323145435434
oct2605023512464204
9421728428105170
1097103257430148
1128a38295385032
12aa83318538630
134224a4ac51648
1419d9b738342c4
15b35d2a259cd3
hex58509d2a6884

97103257430148 has 72 divisors (see below), whose sum is σ = 253730743535360. Its totient is φ = 31279451158080.

The previous prime is 97103257430129. The next prime is 97103257430167. The reversal of 97103257430148 is 84103475230179.

97103257430148 is a `hidden beast` number, since 9 + 7 + 1 + 0 + 32 + 574 + 30 + 1 + 4 + 8 = 666.

97103257430148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97103257430129) and next prime (97103257430167).

It is a junction number, because it is equal to n+sod(n) for n = 97103257430094 and 97103257430103.

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, 60569890 + ... + 62152377.

Almost surely, 297103257430148 is an apocalyptic number.

It is an amenable number.

97103257430148 is an abundant number, since it is smaller than the sum of its proper divisors (156627486105212).

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

97103257430148 is a wasteful number, since it uses less digits than its factorization.

97103257430148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122723017 (or 122723012 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 97103257430148 in words is "ninety-seven trillion, one hundred three billion, two hundred fifty-seven million, four hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 709 1116 1418 2127 2836 4254 6381 8508 12762 21979 25524 43958 65937 87916 131874 197811 263748 395622 791244 122722267 245444534 368166801 490889068 736333602 1104500403 1472667204 2209000806 3804390277 4418001612 7608780554 11413170831 15217561108 22826341662 34239512493 45652683324 68479024986 87010087303 136958049972 174020174606 261030261909 348040349212 522060523818 783090785727 1044121047636 1566181571454 2697312706393 3132363142908 5394625412786 8091938119179 10789250825572 16183876238358 24275814357537 32367752476716 48551628715074 97103257430148