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311340132004 = 221117829502087
BaseRepresentation
bin1001000011111010101…
…00010110011010100100
31002202121211101102101011
410201331110112122210
520100111033211004
6355005551312004
731331204312566
oct4417524263244
91082554342334
10311340132004
1111004742a320
125040b21b604
13234893659a5
14110d7271336
158173038004
hex487d5166a4

311340132004 has 48 divisors (see below), whose sum is σ = 630100356480. Its totient is φ = 133032706560.

The previous prime is 311340131923. The next prime is 311340132013. The reversal of 311340132004 is 400231043113.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 369049 + ... + 871135.

It is an arithmetic number, because the mean of its divisors is an integer number (13127090760).

Almost surely, 2311340132004 is an apocalyptic number.

311340132004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

311340132004 is an abundant number, since it is smaller than the sum of its proper divisors (318760224476).

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

311340132004 is a wasteful number, since it uses less digits than its factorization.

311340132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502948 (or 502946 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 311340132004 its reverse (400231043113), we get a palindrome (711571175117).

It can be divided in two parts, 311340 and 132004, that added together give a palindrome (443344).

The spelling of 311340132004 in words is "three hundred eleven billion, three hundred forty million, one hundred thirty-two thousand, four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 829 1658 3316 9119 14093 18238 28186 36476 56372 155023 310046 502087 620092 1004174 2008348 5522957 8535479 11045914 17070958 22091828 34141916 93890269 187780538 375561076 416230123 832460246 1664920492 4578531353 7075912091 9157062706 14151824182 18314125412 28303648364 77835033001 155670066002 311340132004