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103331240144 = 241114914832657
BaseRepresentation
bin110000000111100000…
…1011001100011010000
3100212201022221212122022
41200033001121203100
53143110244141034
6115245243031012
710315434022616
oct1401701314320
9325638855568
10103331240144
113a905878130
121803950b468
139989a0c362
14500364d6b6
152a4b90db2e
hex180f0598d0

103331240144 has 80 divisors (see below), whose sum is σ = 220101537600. Its totient is φ = 46604513280.

The previous prime is 103331240143. The next prime is 103331240197. The reversal of 103331240144 is 441042133301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103331240143) 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, 38888864 + ... + 38891520.

It is an arithmetic number, because the mean of its divisors is an integer number (2751269220).

Almost surely, 2103331240144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103331240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110050768800).

103331240144 is an abundant number, since it is smaller than the sum of its proper divisors (116770297456).

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

103331240144 is a wasteful number, since it uses less digits than its factorization.

103331240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103331240144 its reverse (441042133301), we get a palindrome (544373373445).

The spelling of 103331240144 in words is "one hundred three billion, three hundred thirty-one million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1192 1483 1639 2384 2657 2966 3278 5314 5932 6556 10628 11864 13112 16313 21256 23728 26224 29227 32626 42512 58454 65252 116908 130504 220967 233816 261008 395893 441934 467632 791786 883868 1583572 1767736 2430637 3167144 3535472 3940331 4354823 4861274 6334288 7880662 8709646 9722548 15761324 17419292 19445096 31522648 34838584 38890192 43343641 63045296 69677168 86687282 173374564 346749128 587109319 693498256 1174218638 2348437276 4696874552 6458202509 9393749104 12916405018 25832810036 51665620072 103331240144