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131233222032 = 2431117101144757
BaseRepresentation
bin111101000111000011…
…1000000110110010000
3110112201212110102012220
41322032013000312100
54122231201101112
6140142051221040
712324036660603
oct1721607006620
9415655412186
10131233222032
11507238070a0
12215258a7780
13c4b552b703
1464cd1a633a
15363126298c
hex1e8e1c0d90

131233222032 has 160 divisors (see below), whose sum is σ = 395474223744. Its totient is φ = 37057536000.

The previous prime is 131233222027. The next prime is 131233222079. The reversal of 131233222032 is 230222332131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131233221993 and 131233222011.

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, 834198 + ... + 978954.

Almost surely, 2131233222032 is an apocalyptic number.

131233222032 is a gapful number since it is divisible by the number (12) 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 131233222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197737111872).

131233222032 is an abundant number, since it is smaller than the sum of its proper divisors (264241001712).

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

131233222032 is a wasteful number, since it uses less digits than its factorization.

131233222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144897 (or 144891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131233222032 its reverse (230222332131), we get a palindrome (361455554163).

The spelling of 131233222032 in words is "one hundred thirty-one billion, two hundred thirty-three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 101 102 132 136 176 187 202 204 264 272 303 374 404 408 528 561 606 748 808 816 1111 1122 1212 1496 1616 1717 2222 2244 2424 2992 3333 3434 4444 4488 4848 5151 6666 6868 8888 8976 10302 13332 13736 17776 18887 20604 26664 27472 37774 41208 53328 56661 75548 82416 113322 144757 151096 226644 289514 302192 434271 453288 579028 868542 906576 1158056 1592327 1737084 2316112 2460869 3184654 3474168 4776981 4921738 6369308 6948336 7382607 9553962 9843476 12738616 14620457 14765214 19107924 19686952 25477232 27069559 29240914 29530428 38215848 39373904 43861371 54139118 58481828 59060856 76431696 81208677 87722742 108278236 116963656 118121712 160825027 162417354 175445484 216556472 233927312 248547769 321650054 324834708 350890968 433112944 482475081 497095538 643300108 649669416 701781936 745643307 964950162 994191076 1286600216 1299338832 1491286614 1929900324 1988382152 2573200432 2734025459 2982573228 3859800648 3976764304 5468050918 5965146456 7719601296 8202076377 10936101836 11930292912 16404152754 21872203672 32808305508 43744407344 65616611016 131233222032