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13004022113240 = 23517318172714281
BaseRepresentation
bin1011110100111011110000…
…0111100110001111011000
31201001011122122211001101112
42331032330013212033120
53201024214130110430
643353544300235452
72511336535115144
oct275167407461730
951034578731345
1013004022113240
114163a7a517a24
12156032483bb88
13734374050092
1432d580294224
151783e7829195
hexbd3bc1e63d8

13004022113240 has 128 divisors (see below), whose sum is σ = 29633541275520. Its totient is φ = 5135535820800.

The previous prime is 13004022113231. The next prime is 13004022113311. The reversal of 13004022113240 is 4231122040031.

It is a super-2 number, since 2×130040221132402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910574900 + ... + 910589180.

It is an arithmetic number, because the mean of its divisors is an integer number (231512041215).

Almost surely, 213004022113240 is an apocalyptic number.

13004022113240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004022113240 is an abundant number, since it is smaller than the sum of its proper divisors (16629519162280).

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

13004022113240 is a wasteful number, since it uses less digits than its factorization.

13004022113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15373 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13004022113240 its reverse (4231122040031), we get a palindrome (17235144153271).

The spelling of 13004022113240 in words is "thirteen trillion, four billion, twenty-two million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 173 181 346 362 692 724 727 865 905 1384 1448 1454 1730 1810 2908 3460 3620 3635 5816 6920 7240 7270 14281 14540 28562 29080 31313 57124 62626 71405 114248 125252 125771 131587 142810 156565 250504 251542 263174 285620 313130 503084 526348 571240 626260 628855 657935 1006168 1052696 1252520 1257710 1315870 2470613 2515420 2584861 2631740 4941226 5030840 5169722 5263480 9882452 10339444 10382287 12353065 12924305 19764904 20678888 20764574 22764551 24706130 25848610 41529148 45529102 49412260 51697220 51911435 83058296 91058204 98824520 103394440 103822870 113822755 182116408 207645740 227645510 415291480 447180953 455291020 894361906 910582040 1788723812 1796135651 1879193947 2235904765 3577447624 3592271302 3758387894 4471809530 7184542604 7516775788 8943619060 8980678255 9395969735 14369085208 15033551576 17887238120 17961356510 18791939470 35922713020 37583878940 71845426040 75167757880 325100552831 650201105662 1300402211324 1625502764155 2600804422648 3251005528310 6502011056620 13004022113240