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1231340211432 = 2333127223201287
BaseRepresentation
bin10001111010110001100…
…110001000110011101000
311100201022012211210211000
4101322301212020303220
5130133241043231212
62341400410035000
7154650521050602
oct21726146106350
94321265753730
101231340211432
114352324a2881
1217a785418a60
138c165526906
1443850960172
152206b2e91dc
hex11eb1988ce8

1231340211432 has 128 divisors (see below), whose sum is σ = 3462797721600. Its totient is φ = 405386783424.

The previous prime is 1231340211427. The next prime is 1231340211443. The reversal of 1231340211432 is 2341120431321.

1231340211432 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 4 + 0 + 211 + 432 = 666.

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 = 1231340211396 and 1231340211405.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6016693 + ... + 6217979.

It is an arithmetic number, because the mean of its divisors is an integer number (27053107200).

Almost surely, 21231340211432 is an apocalyptic number.

1231340211432 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 1231340211432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731398860800).

1231340211432 is an abundant number, since it is smaller than the sum of its proper divisors (2231457510168).

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

1231340211432 is a wasteful number, since it uses less digits than its factorization.

1231340211432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201652 (or 201642 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1231340211432 its reverse (2341120431321), we get a palindrome (3572460642753).

The spelling of 1231340211432 in words is "one trillion, two hundred thirty-one billion, three hundred forty million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 223 254 381 446 508 669 762 892 1016 1143 1338 1524 1784 2007 2286 2676 3048 3429 4014 4572 5352 6021 6858 8028 9144 12042 13716 16056 24084 27432 28321 48168 56642 84963 113284 169926 201287 226568 254889 339852 402574 509778 603861 679704 764667 805148 1019556 1207722 1529334 1610296 1811583 2039112 2415444 3058668 3623166 4830888 5434749 6117336 7246332 10869498 14492664 21738996 25563449 43477992 44887001 51126898 76690347 89774002 102253796 134661003 153380694 179548004 204507592 230071041 269322006 306761388 359096008 403983009 460142082 538644012 613522776 690213123 807966018 920284164 1077288024 1211949027 1380426246 1615932036 1840568328 2423898054 2760852492 3231864072 4847796108 5521704984 5700649127 9695592216 11401298254 17101947381 22802596508 34203894762 45605193016 51305842143 68407789524 102611684286 136815579048 153917526429 205223368572 307835052858 410446737144 615670105716 1231340211432