Search a number
-
+
12322003136160 = 253589288436403
BaseRepresentation
bin1011001101001111000010…
…0111101010111010100000
31121121222020120210021000110
42303103300213222322200
53103340430300324120
642112352230451320
72411143503345024
oct263236047527240
947558216707013
1012322003136160
113a20806599a53
121470105b03b40
136b4c62bcaa93
1430856107a384
151657cc12c2e0
hexb34f09eaea0

12322003136160 has 96 divisors (see below), whose sum is σ = 39250425856320. Its totient is φ = 3248947632128.

The previous prime is 12322003136159. The next prime is 12322003136221. The reversal of 12322003136160 is 6163130022321.

12322003136160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123220031361602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144175482 + ... + 144260921.

It is an arithmetic number, because the mean of its divisors is an integer number (408858602670).

Almost surely, 212322003136160 is an apocalyptic number.

12322003136160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322003136160 is an abundant number, since it is smaller than the sum of its proper divisors (26928422720160).

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

12322003136160 is a wasteful number, since it uses less digits than its factorization.

12322003136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288436510 (or 288436502 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 12322003136160 its reverse (6163130022321), we get a palindrome (18485133158481).

The spelling of 12322003136160 in words is "twelve trillion, three hundred twenty-two billion, three million, one hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 8544 10680 14240 21360 42720 288436403 576872806 865309209 1153745612 1442182015 1730618418 2307491224 2884364030 3461236836 4326546045 4614982448 5768728060 6922473672 8653092090 9229964896 11537456120 13844947344 17306184180 23074912240 25670839867 27689894688 34612368360 46149824480 51341679734 69224736720 77012519601 102683359468 128354199335 138449473440 154025039202 205366718936 256708398670 308050078404 385062598005 410733437872 513416797340 616100156808 770125196010 821466875744 1026833594680 1232200313616 1540250392020 2053667189360 2464400627232 3080500784040 4107334378720 6161001568080 12322003136160