Search a number
-
+
102200102132020 = 22528396311874837
BaseRepresentation
bin10111001111001101010000…
…110010001001100100110100
3111101212020022211121220112121
4113033031100302021210310
5101343421302121211040
61001210025002525324
730345466542536314
oct2717152062114464
9441766284556477
10102200102132020
112a622902336492
12b567093506844
134504574c08519
141b3472316b444
15bc36d4b97c4a
hex5cf350c89934

102200102132020 has 48 divisors (see below), whose sum is σ = 215401067739648. Its totient is φ = 40731337054080.

The previous prime is 102200102132003. The next prime is 102200102132069. The reversal of 102200102132020 is 20231201002201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102200102131985 and 102200102132003.

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, 53574042 + ... + 55448878.

It is an arithmetic number, because the mean of its divisors is an integer number (4487522244576).

Almost surely, 2102200102132020 is an apocalyptic number.

102200102132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200102132020 is an abundant number, since it is smaller than the sum of its proper divisors (113200965607628).

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

102200102132020 is a wasteful number, since it uses less digits than its factorization.

102200102132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884760 (or 1884758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102200102132020 its reverse (20231201002201), we get a palindrome (122431303134221).

The spelling of 102200102132020 in words is "one hundred two trillion, two hundred billion, one hundred two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 283 566 1132 1415 2830 5660 9631 19262 38524 48155 96310 192620 1874837 2725573 3749674 5451146 7499348 9374185 10902292 13627865 18748370 27255730 37496740 54511460 530578871 1061157742 2122315484 2652894355 5305788710 10611577420 18056555147 36113110294 72226220588 90282775735 180565551470 361131102940 5110005106601 10220010213202 20440020426404 25550025533005 51100051066010 102200102132020