Search a number
-
+
10221913181680 = 2451237103293383
BaseRepresentation
bin1001010010111111100110…
…0000010000110111110000
31100012012112201000220110021
42110233321200100313300
52314433434233303210
633423514310413224
72103336352305334
oct224577140206760
940165481026407
1010221913181680
1132910a8562a22
1211910aa061214
13591bcb31c995
14274a596317c4
1512ad67096bda
hex94bf9810df0

10221913181680 has 40 divisors (see below), whose sum is σ = 23785160946912. Its totient is φ = 4085459844864.

The previous prime is 10221913181657. The next prime is 10221913181681. The reversal of 10221913181680 is 8618131912201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221913181681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51547732 + ... + 51745651.

Almost surely, 210221913181680 is an apocalyptic number.

10221913181680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221913181680 is an abundant number, since it is smaller than the sum of its proper divisors (13563247765232).

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

10221913181680 is a wasteful number, since it uses less digits than its factorization.

10221913181680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103294633 (or 103294627 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The spelling of 10221913181680 in words is "ten trillion, two hundred twenty-one billion, nine hundred thirteen million, one hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1237 2474 4948 6185 9896 12370 19792 24740 49480 98960 103293383 206586766 413173532 516466915 826347064 1032933830 1652694128 2065867660 4131735320 8263470640 127773914771 255547829542 511095659084 638869573855 1022191318168 1277739147710 2044382636336 2555478295420 5110956590840 10221913181680