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10102344444 = 2232614600339
BaseRepresentation
bin10010110100010010…
…11000101011111100
3222002001100021022100
421122021120223330
5131142200010234
64350240145100
7505226340153
oct113211305374
928061307270
1010102344444
1143145679a5
121b5b308190
13c4cc7210a
146bb9a459a
153e1d77399
hex25a258afc

10102344444 has 36 divisors (see below), whose sum is σ = 25955118280. Its totient is φ = 3312243360.

The previous prime is 10102344437. The next prime is 10102344467. The reversal of 10102344444 is 44444320101.

10102344444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2297974 + ... + 2302365.

Almost surely, 210102344444 is an apocalyptic number.

It is an amenable number.

10102344444 is an abundant number, since it is smaller than the sum of its proper divisors (15852773836).

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

10102344444 is a wasteful number, since it uses less digits than its factorization.

10102344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600410 (or 4600405 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10102344444 its reverse (44444320101), we get a palindrome (54546664545).

The spelling of 10102344444 in words is "ten billion, one hundred two million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4600339 9200678 13801017 18401356 27602034 41403051 55204068 82806102 165612204 280620679 561241358 841862037 1122482716 1683724074 2525586111 3367448148 5051172222 10102344444