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106031442264 = 23311401634251
BaseRepresentation
bin110001010111111110…
…1110110100101011000
3101010200111212100121020
41202233331312211120
53214123022123024
6120413221442440
710442362250166
oct1425775664530
9333614770536
10106031442264
1140a70a91a30
1218671870420
139cca266aa7
1451bc0d6236
152b589d3979
hex18aff76958

106031442264 has 32 divisors (see below), whose sum is σ = 289176661440. Its totient is φ = 32130740000.

The previous prime is 106031442263. The next prime is 106031442277. The reversal of 106031442264 is 462244130601.

It is a happy number.

It is a super-2 number, since 2×1060314422642 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031442263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200816862 + ... + 200817389.

It is an arithmetic number, because the mean of its divisors is an integer number (9036770670).

Almost surely, 2106031442264 is an apocalyptic number.

It is an amenable number.

106031442264 is an abundant number, since it is smaller than the sum of its proper divisors (183145219176).

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

106031442264 is a wasteful number, since it uses less digits than its factorization.

106031442264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401634271 (or 401634267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 106031442264 its reverse (462244130601), we get a palindrome (568275572865).

The spelling of 106031442264 in words is "one hundred six billion, thirty-one million, four hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 401634251 803268502 1204902753 1606537004 2409805506 3213074008 4417976761 4819611012 8835953522 9639222024 13253930283 17671907044 26507860566 35343814088 53015721132 106031442264