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2132323213032 = 2333191645131583
BaseRepresentation
bin11111000001111000010…
…111100001111011101000
321112211220021022112202000
4133001320113201323220
5234413444220304112
64311324210411000
7310024646154165
oct37017027417350
97484807275660
102132323213032
11752349956291
122a5312890a60
1312610084aa6c
14752c270b06c
153a6eec9a7dc
hex1f0785e1ee8

2132323213032 has 128 divisors (see below), whose sum is σ = 6235439616000. Its totient is φ = 673302974400.

The previous prime is 2132323212983. The next prime is 2132323213037. The reversal of 2132323213032 is 2303123232312.

2132323213032 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 32 + 321 + 303 + 2 = 666.

It is a super-2 number, since 2×21323232130322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2132323212987 and 2132323213005.

It is not an unprimeable number, because it can be changed into a prime (2132323213037) 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, 67499113 + ... + 67530695.

It is an arithmetic number, because the mean of its divisors is an integer number (48714372000).

Almost surely, 22132323213032 is an apocalyptic number.

It is an amenable number.

2132323213032 is an abundant number, since it is smaller than the sum of its proper divisors (4103116402968).

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

2132323213032 is a wasteful number, since it uses less digits than its factorization.

2132323213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48068 (or 48058 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2132323213032 its reverse (2303123232312), we get a palindrome (4435446445344).

The spelling of 2132323213032 in words is "two trillion, one hundred thirty-two billion, three hundred twenty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 16451 31583 32902 49353 63166 65804 94749 98706 126332 131608 148059 189498 197412 252664 284247 296118 312569 378996 394824 444177 568494 592236 600077 625138 757992 852741 888354 937707 1136988 1184472 1200154 1250276 1705482 1776708 1800231 1875414 2273976 2400308 2500552 2813121 3410964 3553416 3600462 3750828 4800616 5400693 5626242 6821928 7200924 7501656 8439363 10801386 11252484 14401848 16202079 16878726 21602772 22504968 32404158 33757452 43205544 64808316 67514904 129616632 519571933 1039143866 1558715799 2078287732 3117431598 4156575464 4676147397 6234863196 9352294794 9871866727 12469726392 14028442191 18704589588 19743733454 28056884382 29615600181 37409179176 39487466908 56113768764 59231200362 78974933816 88846800543 112227537528 118462400724 177693601086 236924801448 266540401629 355387202172 533080803258 710774404344 1066161606516 2132323213032