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130211279104 = 2819211872
BaseRepresentation
bin111100101000100110…
…0100111000100000000
3110110002122111100001211
41321101030213010000
54113133041412404
6135452423335504
712256520416264
oct1712114470400
9413078440054
10130211279104
1150249966265
122129b5b1594
13c3818aa95a
1464335860a4
1535c1699b04
hex1e51327100

130211279104 has 81 divisors (see below), whose sum is σ = 274544876487. Its totient is φ = 61627064832.

The previous prime is 130211279059. The next prime is 130211279117. The reversal of 130211279104 is 401972112031.

It is a happy number.

The square root of 130211279104 is 360848.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109697199 + ... + 109698385.

Almost surely, 2130211279104 is an apocalyptic number.

130211279104 is the 360848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130211279104

130211279104 is an abundant number, since it is smaller than the sum of its proper divisors (144333597383).

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

130211279104 is an frugal number, since it uses more digits than its factorization.

130211279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 130211279104 in words is "one hundred thirty billion, two hundred eleven million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1187 1216 1444 2374 2432 2888 4748 4864 5776 9496 11552 18992 22553 23104 37984 45106 46208 75968 90212 92416 151936 180424 303872 360848 428507 721696 857014 1408969 1443392 1714028 2817938 2886784 3428056 5635876 5773568 6856112 11271752 13712224 22543504 26770411 27424448 45087008 53540822 54848896 90174016 107081644 109697792 180348032 214163288 360696064 428326576 508637809 856653152 1017275618 1713306304 2034551236 3426612608 4069102472 6853225216 8138204944 16276409888 32552819776 65105639552 130211279104