Search a number
-
+
102331234432 = 277711608577
BaseRepresentation
bin101111101001101101…
…0101011100010000000
3100210010122021022200201
41133103122223202000
53134033244000212
6115002121254544
710251602066230
oct1372332534200
9323118238621
10102331234432
113a442350029
12179ba634454
13985a79c6bb
144d4a8ddcc0
1529ddc2ab57
hex17d36ab880

102331234432 has 64 divisors (see below), whose sum is σ = 236267936640. Its totient is φ = 43238522880.

The previous prime is 102331234387. The next prime is 102331234487. The reversal of 102331234432 is 234432133201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102331234432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740673 + ... + 867904.

It is an arithmetic number, because the mean of its divisors is an integer number (3691686510).

Almost surely, 2102331234432 is an apocalyptic number.

It is an amenable number.

102331234432 is an abundant number, since it is smaller than the sum of its proper divisors (133936702208).

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

102331234432 is an equidigital number, since it uses as much as digits as its factorization.

102331234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608669 (or 1608657 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 102331234432 its reverse (234432133201), we get a palindrome (336763367633).

The spelling of 102331234432 in words is "one hundred two billion, three hundred thirty-one million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1988 2272 3976 4544 7952 9088 15904 31808 63616 1608577 3217154 6434308 11260039 12868616 22520078 25737232 45040156 51474464 90080312 102948928 114208967 180160624 205897856 228417934 360321248 456835868 720642496 799462769 913671736 1441284992 1598925538 1827343472 3197851076 3654686944 6395702152 7309373888 12791404304 14618747776 25582808608 51165617216 102331234432