Search a number
-
+
102013232000020 = 225111667278162273
BaseRepresentation
bin10111001100011111001110…
…011101001010110000010100
3111101012100222112111121220121
4113030133032131022300110
5101332341044343000040
61000544122023241324
730326132662610665
oct2714371635126024
9441170875447817
10102013232000020
112a560628a91470
12b536a20ba9244
1344bca63b5b713
141b29676b7d36c
15bbd8e9279c4a
hex5cc7ce74ac14

102013232000020 has 48 divisors (see below), whose sum is σ = 233843235208128. Its totient is φ = 37073467612160.

The previous prime is 102013231999957. The next prime is 102013232000077. The reversal of 102013232000020 is 20000232310201.

It is a junction number, because it is equal to n+sod(n) for n = 102013231999958 and 102013232000003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138714397 + ... + 139447876.

It is an arithmetic number, because the mean of its divisors is an integer number (4871734066836).

Almost surely, 2102013232000020 is an apocalyptic number.

102013232000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013232000020 is an abundant number, since it is smaller than the sum of its proper divisors (131830003208108).

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

102013232000020 is a wasteful number, since it uses less digits than its factorization.

102013232000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278163960 (or 278163958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102013232000020 its reverse (20000232310201), we get a palindrome (122013464310221).

The spelling of 102013232000020 in words is "one hundred two trillion, thirteen billion, two hundred thirty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1667 3334 6668 8335 16670 18337 33340 36674 73348 91685 183370 366740 278162273 556324546 1112649092 1390811365 2781622730 3059785003 5563245460 6119570006 12239140012 15298925015 30597850030 61195700060 463696509091 927393018182 1854786036364 2318482545455 4636965090910 5100661600001 9273930181820 10201323200002 20402646400004 25503308000005 51006616000010 102013232000020