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312124100024 = 2311101179196187
BaseRepresentation
bin1001000101011000000…
…10111100110110111000
31002211122110120010022202
410202230002330312320
520103212232200044
6355215434405332
731356504034622
oct4425402746670
91084573503282
10312124100024
11110409a10080
12505a9890848
13235828c45a9
141116d425c12
1581bbc94c4e
hex48ac0bcdb8

312124100024 has 64 divisors (see below), whose sum is σ = 648362102400. Its totient is φ = 139684432000.

The previous prime is 312124099999. The next prime is 312124100117. The reversal of 312124100024 is 420001421213.

It is a junction number, because it is equal to n+sod(n) for n = 312124099969 and 312124100005.

It is a congruent number.

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, 1492859 + ... + 1689045.

It is an arithmetic number, because the mean of its divisors is an integer number (10130657850).

Almost surely, 2312124100024 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 312124100024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324181051200).

312124100024 is an abundant number, since it is smaller than the sum of its proper divisors (336238002376).

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

312124100024 is a wasteful number, since it uses less digits than its factorization.

312124100024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196484 (or 196480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312124100024 its reverse (420001421213), we get a palindrome (732125521237).

The spelling of 312124100024 in words is "three hundred twelve billion, one hundred twenty-four million, one hundred thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 179 202 358 404 716 808 1111 1432 1969 2222 3938 4444 7876 8888 15752 18079 36158 72316 144632 196187 198869 392374 397738 784748 795476 1569496 1590952 2158057 4316114 8632228 17264456 19814887 35117473 39629774 70234946 79259548 140469892 158519096 217963757 280939784 386292203 435927514 772584406 871855028 1545168812 1743710056 3090337624 3546864773 7093729546 14187459092 28374918184 39015512503 78031025006 156062050012 312124100024