Search a number
-
+
102045014055630 = 23254392582764213
BaseRepresentation
bin10111001100111100110100…
…110100000101101011001110
3111101022102000111001100000100
4113030330310310011223032
5101333401142044240010
61001010455435111530
730331336401616152
oct2714746464055316
9441272014040010
10102045014055630
112a573058143228
12b5410108a25a6
1344c2a5a49cc99
141b2b00db4d062
15bbe6595652c0
hex5ccf34d05ace

102045014055630 has 48 divisors (see below), whose sum is σ = 265921403473440. Its totient is φ = 27150017396544.

The previous prime is 102045014055599. The next prime is 102045014055731. The reversal of 102045014055630 is 36550410540201.

102045014055630 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 5 + 0 + 14 + 0 + 5 + 5 + 630 = 666.

It is a super-2 number, since 2×1020450140556302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1291342597 + ... + 1291421616.

It is an arithmetic number, because the mean of its divisors is an integer number (5540029239030).

Almost surely, 2102045014055630 is an apocalyptic number.

102045014055630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102045014055630 is an abundant number, since it is smaller than the sum of its proper divisors (163876389417810).

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

102045014055630 is a wasteful number, since it uses less digits than its factorization.

102045014055630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582764665 (or 2582764662 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 102045014055630 its reverse (36550410540201), we get a palindrome (138595424595831).

The spelling of 102045014055630 in words is "one hundred two trillion, forty-five billion, fourteen million, fifty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 439 878 1317 2195 2634 3951 4390 6585 7902 13170 19755 39510 2582764213 5165528426 7748292639 12913821065 15496585278 23244877917 25827642130 38741463195 46489755834 77482926390 116224389585 232448779170 1133833489507 2267666979014 3401500468521 5669167447535 6803000937042 10204501405563 11338334895070 17007502342605 20409002811126 34015004685210 51022507027815 102045014055630