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13402102340 = 22511295094127
BaseRepresentation
bin11000111101101001…
…11101101001000100
31021121000102100011202
430132310331221010
5204421414233330
610053513322032
7653054663444
oct143664755104
937530370152
1013402102340
115758156940
122720406318
13135779b193
14911d1a124
155368cd445
hex31ed3da44

13402102340 has 96 divisors (see below), whose sum is σ = 31831833600. Its totient is φ = 4695057920.

The previous prime is 13402102321. The next prime is 13402102349. The reversal of 13402102340 is 4320120431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13402102349) 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, 3245357 + ... + 3249483.

It is an arithmetic number, because the mean of its divisors is an integer number (331581600).

Almost surely, 213402102340 is an apocalyptic number.

13402102340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13402102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915916800).

13402102340 is an abundant number, since it is smaller than the sum of its proper divisors (18429731260).

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

13402102340 is a wasteful number, since it uses less digits than its factorization.

13402102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13402102340 its reverse (4320120431), we get a palindrome (17722222771).

The spelling of 13402102340 in words is "thirteen billion, four hundred two million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 509 580 638 1018 1276 1595 2036 2545 3190 4127 5090 5599 6380 8254 10180 11198 14761 16508 20635 22396 27995 29522 41270 45397 55990 59044 73805 82540 90794 111980 119683 147610 162371 181588 226985 239366 295220 324742 453970 478732 598415 649484 811855 907940 1196830 1316513 1623710 2100643 2393660 2633026 3247420 4201286 5266052 6582565 8402572 10503215 13165130 21006430 23107073 26330260 42012860 46214146 60918647 92428292 115535365 121837294 231070730 243674588 304593235 462141460 609186470 670105117 1218372940 1340210234 2680420468 3350525585 6701051170 13402102340