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21132431340 = 22353111132499
BaseRepresentation
bin10011101011100101…
…110100111111101100
32000112202101202000020
4103223211310333230
5321234400300330
613412541202140
71345452462666
oct235345647754
960482352006
1021132431340
118a64785499
124119260350
131cba1a2157
141046867536
1583a3ab210
hex4eb974fec

21132431340 has 48 divisors (see below), whose sum is σ = 59361120000. Its totient is φ = 5617190080.

The previous prime is 21132431339. The next prime is 21132431357. The reversal of 21132431340 is 4313423112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21132431340.

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, 547590 + ... + 584909.

It is an arithmetic number, because the mean of its divisors is an integer number (1236690000).

Almost surely, 221132431340 is an apocalyptic number.

21132431340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132431340 is an abundant number, since it is smaller than the sum of its proper divisors (38228688660).

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

21132431340 is a wasteful number, since it uses less digits than its factorization.

21132431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132822 (or 1132820 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21132431340 its reverse (4313423112), we get a palindrome (25445854452).

The spelling of 21132431340 in words is "twenty-one billion, one hundred thirty-two million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1866 3110 3732 4665 6220 9330 18660 1132499 2264998 3397497 4529996 5662495 6794994 11324990 13589988 16987485 22649980 33974970 67949940 352207189 704414378 1056621567 1408828756 1761035945 2113243134 3522071890 4226486268 5283107835 7044143780 10566215670 21132431340