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130023212301000 = 2332531723137411063
BaseRepresentation
bin11101100100000101100011…
…011000011011101011001000
3122001101002122020001100120200
4131210011203120123223020
5114020300014322113000
61140311501130052200
736246603261050424
oct3544054330335310
9561332566040520
10130023212301000
113847a597711567
12126bb45287a060
1357721a0617635
14241722ad51b84
151007307342500
hex76416361bac8

130023212301000 has 2304 divisors, whose sum is σ = 507483677675520. Its totient is φ = 29949419520000.

The previous prime is 130023212300987. The next prime is 130023212301043. The reversal of 130023212301000 is 103212320031.

130023212301000 is a `hidden beast` number, since 1 + 300 + 2 + 32 + 1 + 230 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 122317226469 + ... + 122317227531.

It is an arithmetic number, because the mean of its divisors is an integer number (220262012880).

Almost surely, 2130023212301000 is an apocalyptic number.

130023212301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130023212301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253741838837760).

130023212301000 is an abundant number, since it is smaller than the sum of its proper divisors (377460465374520).

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

130023212301000 is a wasteful number, since it uses less digits than its factorization.

130023212301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130023212301000 its reverse (103212320031), we get a palindrome (130126424621031).

The spelling of 130023212301000 in words is "one hundred thirty trillion, twenty-three billion, two hundred twelve million, three hundred one thousand".