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2331120211332 = 22311231101512761
BaseRepresentation
bin100001111011000001100…
…101111001010110000100
322020212000202221102010220
4201323001211321112010
5301143113233230312
64542522444144340
7330263221601463
oct41730145712604
98225022842126
102331120211332
11819693650500
123179535380b0
1313ba928643c3
1480b80b1a9da
15409877dec8c
hex21ec1979584

2331120211332 has 144 divisors (see below), whose sum is σ = 6232691845632. Its totient is φ = 676843200000.

The previous prime is 2331120211331. The next prime is 2331120211349.

2331120211332 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2331120211331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4289832 + ... + 4802592.

Almost surely, 22331120211332 is an apocalyptic number.

2331120211332 is a gapful number since it is divisible by the number (22) 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 2331120211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116345922816).

2331120211332 is an abundant number, since it is smaller than the sum of its proper divisors (3901571634300).

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

2331120211332 is a wasteful number, since it uses less digits than its factorization.

2331120211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512922 (or 512909 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2331120 and 211332, that added together give a palindrome (2542452).

The spelling of 2331120211332 in words is "two trillion, three hundred thirty-one billion, one hundred twenty million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 121 124 132 186 202 242 303 341 363 372 404 484 606 682 726 1023 1111 1212 1364 1452 2046 2222 3131 3333 3751 4092 4444 6262 6666 7502 9393 11253 12221 12524 13332 15004 18786 22506 24442 34441 36663 37572 45012 48884 68882 73326 103323 137764 146652 206646 378851 413292 512761 757702 1025522 1136553 1515404 1538283 2051044 2273106 3076566 4546212 5640371 6153132 11280742 15895591 16921113 22561484 31791182 33842226 47686773 51788861 62044081 63582364 67684452 95373546 103577722 124088162 155366583 174851501 186132243 190747092 207155444 248176324 310733166 349703002 372264486 524554503 569677471 621466332 699406004 744528972 1049109006 1139354942 1605454691 1709032413 1923366511 2098218012 2278709884 3210909382 3418064826 3846733022 4816364073 5770099533 6266452181 6421818764 6836129652 7693466044 9632728146 11540199066 12532904362 17660001601 18799356543 19265456292 23080398132 25065808724 35320003202 37598713086 52980004803 70640006404 75197426172 105960009606 194260017611 211920019212 388520035222 582780052833 777040070444 1165560105666 2331120211332