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10102444440 = 2335117653367
BaseRepresentation
bin10010110100010011…
…10001000110011000
3222002001112100110220
421122021301012120
5131142211210230
64350242240040
7505230234534
oct113211610630
928061470426
1010102444440
114314626040
121b5b356020
13c4cca879a
146bb9ccbc4
153e1d96d10
hex25a271198

10102444440 has 64 divisors (see below), whose sum is σ = 33062549760. Its totient is φ = 2449077120.

The previous prime is 10102444439. The next prime is 10102444441. The reversal of 10102444440 is 4444420101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10102444439) and next prime (10102444441).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10102444440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102444441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825364 + ... + 3828003.

It is an arithmetic number, because the mean of its divisors is an integer number (516602340).

Almost surely, 210102444440 is an apocalyptic number.

10102444440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102444440 is an abundant number, since it is smaller than the sum of its proper divisors (22960105320).

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

10102444440 is a wasteful number, since it uses less digits than its factorization.

10102444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653392 (or 7653388 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10102444440 its reverse (4444420101), we get a palindrome (14546864541).

The spelling of 10102444440 in words is "ten billion, one hundred two million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7653367 15306734 22960101 30613468 38266835 45920202 61226936 76533670 84187037 91840404 114800505 153067340 168374074 183680808 229601010 252561111 306134680 336748148 420935185 459202020 505122222 673496296 841870370 918404040 1010244444 1262805555 1683740740 2020488888 2525611110 3367481480 5051222220 10102444440