Search a number
-
+
2131004215104 = 26338928532083
BaseRepresentation
bin11111000000101001101…
…111111100111101000000
321112201111100101111201220
4133000221233330331000
5234403244034340404
64310545251555040
7306650161650162
oct37005157747500
97481440344656
102131004215104
11751832362656
122a5004bbba80
13125c504c080b
14751d9482932
153a6740a64d9
hex1f029bfcf40

2131004215104 has 56 divisors (see below), whose sum is σ = 5652776482080. Its totient is φ = 708508660224.

The previous prime is 2131004215049. The next prime is 2131004215127. The reversal of 2131004215104 is 4015124001312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14191354 + ... + 14340729.

It is an arithmetic number, because the mean of its divisors is an integer number (100942437180).

Almost surely, 22131004215104 is an apocalyptic number.

2131004215104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131004215104 is an abundant number, since it is smaller than the sum of its proper divisors (3521772266976).

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

2131004215104 is a wasteful number, since it uses less digits than its factorization.

2131004215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28532487 (or 28532477 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 2131004215104 its reverse (4015124001312), we get a palindrome (6146128216416).

The spelling of 2131004215104 in words is "two trillion, one hundred thirty-one billion, four million, two hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 389 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 24896 37344 74688 28532083 57064166 85596249 114128332 171192498 228256664 342384996 456513328 684769992 913026656 1369539984 1826053312 2739079968 5478159936 11098980287 22197960574 33296940861 44395921148 66593881722 88791842296 133187763444 177583684592 266375526888 355167369184 532751053776 710334738368 1065502107552 2131004215104