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10231142333132 = 22719971571262819
BaseRepresentation
bin1001010011100001111110…
…0110101011101011001100
31100020002100220022101011102
42110320133212223223030
52320111334414130012
633432042155242232
72104114146636410
oct224703746535314
940202326271142
1010231142333132
113295004138016
121192a44a49378
13592a3c3c2c46
14275293256d40
1512b20743a2c2
hex94e1f9abacc

10231142333132 has 96 divisors (see below), whose sum is σ = 21899925465600. Its totient is φ = 4084983871488.

The previous prime is 10231142333081. The next prime is 10231142333149. The reversal of 10231142333132 is 23133324113201.

It is a junction number, because it is equal to n+sod(n) for n = 10231142333095 and 10231142333104.

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, 7470419 + ... + 8733237.

It is an arithmetic number, because the mean of its divisors is an integer number (228124223600).

Almost surely, 210231142333132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231142333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949962732800).

10231142333132 is an abundant number, since it is smaller than the sum of its proper divisors (11668783132468).

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

10231142333132 is a wasteful number, since it uses less digits than its factorization.

10231142333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263103 (or 1263101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 10231142333132 its reverse (23133324113201), we get a palindrome (33364466446333).

The spelling of 10231142333132 in words is "ten trillion, two hundred thirty-one billion, one hundred forty-two million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 97 133 157 194 266 314 388 532 628 679 1099 1358 1843 2198 2716 2983 3686 4396 5966 7372 11932 12901 15229 20881 25802 30458 41762 51604 60916 83524 106603 213206 289351 426412 578702 1157404 1262819 2025457 2525638 4050914 5051276 8101828 8839733 17679466 23993561 35358932 47987122 95974244 122493443 167954927 198262583 244986886 335909854 396525166 489973772 671819708 793050332 857454101 1387838081 1714908202 2327375417 2775676162 3429816404 3766989077 4654750834 5551352324 7533978154 9309501668 15067956308 16291627919 19231470551 26368923539 32583255838 38462941102 52737847078 65166511676 76925882204 105475694156 134620293857 269240587714 365397940469 538481175428 730795880938 1461591761876 2557785583283 5115571166566 10231142333132