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312422001100 = 2252111039273359
BaseRepresentation
bin1001000101111011100…
…11010110100111001100
31002212102020010001202221
410202331303112213030
520104320013013400
6355305155425124
731400052123106
oct4427563264714
91085366101687
10312422001100
11110552090610
12506715b51a4
13235cc538c11
141119ac10576
1581d7edbc1a
hex48bdcd69cc

312422001100 has 72 divisors (see below), whose sum is σ = 740302617600. Its totient is φ = 113498241600.

The previous prime is 312422001097. The next prime is 312422001103. The reversal of 312422001100 is 1100224213.

It is an interprime number because it is at equal distance from previous prime (312422001097) and next prime (312422001103).

It is not an unprimeable number, because it can be changed into a prime (312422001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006221 + ... + 1279579.

It is an arithmetic number, because the mean of its divisors is an integer number (10281980800).

Almost surely, 2312422001100 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 312422001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370151308800).

312422001100 is an abundant number, since it is smaller than the sum of its proper divisors (427880616500).

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

312422001100 is a wasteful number, since it uses less digits than its factorization.

312422001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274423 (or 274416 counting only the distinct ones).

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

Adding to 312422001100 its reverse (1100224213), we get a palindrome (313522225313).

The spelling of 312422001100 in words is "three hundred twelve billion, four hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1039 1100 2078 4156 5195 10390 11429 20780 22858 25975 45716 51950 57145 103900 114290 228580 273359 285725 546718 571450 1093436 1142900 1366795 2733590 3006949 5467180 6013898 6833975 12027796 13667950 15034745 27335900 30069490 60138980 75173725 150347450 284020001 300694900 568040002 1136080004 1420100005 2840200010 3124220011 5680400020 6248440022 7100500025 12496880044 14201000050 15621100055 28402000100 31242200110 62484400220 78105500275 156211000550 312422001100