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102157328573157 = 311134011283462851
BaseRepresentation
bin10111001110100101011011…
…010001111110001011100101
3111101201010220212121222112210
4113032211123101332023211
5101342221202103320112
61001134232345034033
730342423556354134
oct2716453321761345
9441633825558483
10102157328573157
112a60675281a640
12b55a936785919
134500519355b90
141b3262649d91b
15bc252e94ab3c
hex5ce95b47e2e5

102157328573157 has 64 divisors (see below), whose sum is σ = 160547110843392. Its totient is φ = 56963875200000.

The previous prime is 102157328573147. The next prime is 102157328573191. The reversal of 102157328573157 is 751375823751201.

It is not a de Polignac number, because 102157328573157 - 24 = 102157328573141 is a prime.

It is a super-2 number, since 2×1021573285731572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102157328573097 and 102157328573106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102157328573107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220481782 + ... + 220944632.

It is an arithmetic number, because the mean of its divisors is an integer number (2508548606928).

Almost surely, 2102157328573157 is an apocalyptic number.

It is an amenable number.

102157328573157 is a deficient number, since it is larger than the sum of its proper divisors (58389782270235).

102157328573157 is a wasteful number, since it uses less digits than its factorization.

102157328573157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464562.

The product of its (nonzero) digits is 12348000, while the sum is 57.

The spelling of 102157328573157 in words is "one hundred two trillion, one hundred fifty-seven billion, three hundred twenty-eight million, five hundred seventy-three thousand, one hundred fifty-seven".

Divisors: 1 3 11 13 33 39 143 401 429 1203 1283 3849 4411 5213 13233 14113 15639 16679 42339 50037 57343 172029 183469 462851 514483 550407 1388553 1543449 5091361 5659313 6017063 6688279 15274083 16977939 18051189 20064837 66187693 73571069 185603251 198563079 220713207 556809753 593837833 1781513499 2041635761 2412842263 6124907283 6532216163 7238526789 7719891829 19596648489 23159675487 26541264893 79623794679 84918810119 238128971033 254756430357 714386913099 2619418681363 3095676623429 7858256044089 9287029870287 34052442857719 102157328573157