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10310433144 = 23311192055509
BaseRepresentation
bin10011001101000110…
…01011100101111000
3222121112220021100020
421212203023211320
5132103432330034
64423032210440
7513334143564
oct114643134570
928545807306
1010310433144
114410a75030
121bb8b39a20
13c840cc01b
146db4906a4
1540527d249
hex2668cb978

10310433144 has 64 divisors (see below), whose sum is σ = 29599344000. Its totient is φ = 2959931520.

The previous prime is 10310433131. The next prime is 10310433187. The reversal of 10310433144 is 44133401301.

10310433144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1022739 + ... + 1032770.

It is an arithmetic number, because the mean of its divisors is an integer number (462489750).

Almost surely, 210310433144 is an apocalyptic number.

It is an amenable number.

10310433144 is an abundant number, since it is smaller than the sum of its proper divisors (19288910856).

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

10310433144 is a wasteful number, since it uses less digits than its factorization.

10310433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055548 (or 2055544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10310433144 its reverse (44133401301), we get a palindrome (54443834445).

The spelling of 10310433144 in words is "ten billion, three hundred ten million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 2055509 4111018 6166527 8222036 12333054 16444072 22610599 24666108 39054671 45221198 49332216 67831797 78109342 90442396 117164013 135663594 156218684 180884792 234328026 271327188 312437368 429601381 468656052 542654376 859202762 937312104 1288804143 1718405524 2577608286 3436811048 5155216572 10310433144