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12103140144 = 2431924191667
BaseRepresentation
bin10110100010110011…
…10100001100110000
31011020111012020000210
423101121310030300
5144241400441034
65320552144120
7605632664604
oct132131641460
934214166023
1012103140144
1151509a8367
122419398040
1311ab6376b4
1482b5c9504
154ac8458e9
hex2d1674330

12103140144 has 120 divisors (see below), whose sum is σ = 33097256640. Its totient is φ = 3810635136.

The previous prime is 12103140143. The next prime is 12103140149. The reversal of 12103140144 is 44104130121.

It is a self number, because there is not a number n which added to its sum of digits gives 12103140144.

It is not an unprimeable number, because it can be changed into a prime (12103140143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7259599 + ... + 7261265.

It is an arithmetic number, because the mean of its divisors is an integer number (275810472).

Almost surely, 212103140144 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 12103140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548628320).

12103140144 is an abundant number, since it is smaller than the sum of its proper divisors (20994116496).

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

12103140144 is a wasteful number, since it uses less digits than its factorization.

12103140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12103140144 its reverse (44104130121), we get a palindrome (56207270265).

The spelling of 12103140144 in words is "twelve billion, one hundred three million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 419 456 722 838 912 1083 1257 1444 1667 1676 2166 2514 2888 3334 3352 4332 5001 5028 5776 6668 6704 7961 8664 10002 10056 13336 15922 17328 20004 20112 23883 26672 31673 31844 40008 47766 63346 63688 80016 95019 95532 126692 127376 151259 190038 191064 253384 302518 380076 382128 453777 506768 601787 605036 698473 760152 907554 1203574 1210072 1396946 1520304 1805361 1815108 2095419 2407148 2420144 2793892 3610722 3630216 4190838 4814296 5587784 7221444 7260432 8381676 9628592 11175568 13270987 14442888 16763352 26541974 28885776 33526704 39812961 53083948 79625922 106167896 159251844 212335792 252148753 318503688 504297506 637007376 756446259 1008595012 1512892518 2017190024 3025785036 4034380048 6051570072 12103140144