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312122140 = 225112336089
BaseRepresentation
bin10010100110101…
…001101100011100
3210202022110002021
4102212221230130
51114400402030
650545505524
710506665041
oct2246515434
9722273067
10312122140
11150203a90
12886422a4
134c883575
142d64b1c8
151c60597a
hex129a9b1c

312122140 has 48 divisors (see below), whose sum is σ = 718230240. Its totient is φ = 112993280.

The previous prime is 312122119. The next prime is 312122143. The reversal of 312122140 is 41221213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312122143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48216 + ... + 54304.

It is an arithmetic number, because the mean of its divisors is an integer number (14963130).

Almost surely, 2312122140 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 312122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359115120).

312122140 is an abundant number, since it is smaller than the sum of its proper divisors (406108100).

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

312122140 is a wasteful number, since it uses less digits than its factorization.

312122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312122140 is about 17666.9788022740. The cubic root of 312122140 is about 678.3307818779.

Adding to 312122140 its reverse (41221213), we get a palindrome (353343353).

The spelling of 312122140 in words is "three hundred twelve million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 4660 5126 6089 10252 12178 12815 24356 25630 30445 51260 60890 66979 121780 133958 267916 334895 669790 1339580 1418737 2837474 5674948 7093685 14187370 15606107 28374740 31212214 62424428 78030535 156061070 312122140