Search a number
-
+
102002514265232 = 2471360436694477
BaseRepresentation
bin10111001100010101001111…
…101000010000010010010000
3111101011100022121012021202022
4113030111033220100102100
5101332202122122441412
61000535150321111012
730325303251431540
oct2714251750202220
9441140277167668
10102002514265232
112a557029114709
12b53492b788468
1344bba46562809
141b28d3b587320
15bbd4bd394a72
hex5cc54fa10490

102002514265232 has 40 divisors (see below), whose sum is σ = 225864404127936. Its totient is φ = 43715035391616.

The previous prime is 102002514265229. The next prime is 102002514265243. The reversal of 102002514265232 is 232562415200201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102002514265192 and 102002514265201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11889578 + ... + 18584054.

Almost surely, 2102002514265232 is an apocalyptic number.

It is an amenable number.

102002514265232 is an abundant number, since it is smaller than the sum of its proper divisors (123861889862704).

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

102002514265232 is a wasteful number, since it uses less digits than its factorization.

102002514265232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830535 (or 6830529 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 102002514265232 its reverse (232562415200201), we get a palindrome (334564929465433).

The spelling of 102002514265232 in words is "one hundred two trillion, two billion, five hundred fourteen million, two hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 136043 272086 544172 952301 1088344 1904602 2176688 3809204 6694477 7618408 13388954 15236816 26777908 46861339 53555816 93722678 107111632 187445356 374890712 749781424 910736734511 1821473469022 3642946938044 6375157141577 7285893876088 12750314283154 14571787752176 25500628566308 51001257132616 102002514265232