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312032330301132 = 223473136231224973
BaseRepresentation
bin100011011110010101011000…
…0001101001011111011001100
31111220210222222121012011020000
41012330222300031023323030
5311344314203024114012
63023345401300524300
7122503410012514230
oct10674526015137314
91456728877164200
10312032330301132
1190472193875061
122abb5b580b0690
13105156a3bb09ac
14570a6341385c0
152611a24c62ddc
hex11bcab034becc

312032330301132 has 240 divisors, whose sum is σ = 962583550021632. Its totient is φ = 86252336472960.

The previous prime is 312032330301091. The next prime is 312032330301143. The reversal of 312032330301132 is 231103033230213.

312032330301132 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 323 + 3 + 0 + 301 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312032330301096 and 312032330301105.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 254113398 + ... + 255338370.

Almost surely, 2312032330301132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312032330301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481291775010816).

312032330301132 is an abundant number, since it is smaller than the sum of its proper divisors (650551219720500).

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

312032330301132 is a wasteful number, since it uses less digits than its factorization.

312032330301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228650 (or 1228639 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 312032330301132 its reverse (231103033230213), we get a palindrome (543135363531345).

The spelling of 312032330301132 in words is "three hundred twelve trillion, thirty-two billion, three hundred thirty million, three hundred one thousand, one hundred thirty-two".