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103313213124 = 223115317098641
BaseRepresentation
bin110000000110111110…
…0101000011011000100
3100212200002001000012220
41200031330220123010
53143041140304444
6115243400412340
710315124551662
oct1401574503304
9325602030186
10103313213124
113a8a6685170
12180334770b0
139986069c94
1450010b9c32
152a4a04c619
hex180df286c4

103313213124 has 96 divisors (see below), whose sum is σ = 268128766080. Its totient is φ = 30694809600.

The previous prime is 103313213123. The next prime is 103313213153. The reversal of 103313213124 is 421312313301.

It is a junction number, because it is equal to n+sod(n) for n = 103313213094 and 103313213103.

It is not an unprimeable number, because it can be changed into a prime (103313213123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11951844 + ... + 11960484.

It is an arithmetic number, because the mean of its divisors is an integer number (2793007980).

Almost surely, 2103313213124 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 103313213124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064383040).

103313213124 is an abundant number, since it is smaller than the sum of its proper divisors (164815552956).

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

103313213124 is a wasteful number, since it uses less digits than its factorization.

103313213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10421 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103313213124 its reverse (421312313301), we get a palindrome (524625526425).

The spelling of 103313213124 in words is "one hundred three billion, three hundred thirteen million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1709 1749 2332 3418 3498 5127 6836 6996 8641 10254 17282 18799 20508 25923 34564 37598 51846 56397 75196 90577 95051 103692 112794 181154 190102 225588 271731 285153 362308 380204 457973 543462 570306 915946 996347 1086924 1140612 1373919 1831892 1992694 2747838 2989041 3985388 5037703 5495676 5978082 10075406 11956164 14767469 15113109 20150812 29534938 30226218 44302407 59069876 60452436 88604814 162442159 177209628 324884318 487326477 649768636 782675857 974652954 1565351714 1949305908 2348027571 3130703428 4696055142 8609434427 9392110284 17218868854 25828303281 34437737708 51656606562 103313213124