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1142211200031 = 3211196159316787
BaseRepresentation
bin10000100111110001000…
…101111100010000011111
311001012020122212220102200
4100213301011330100133
5122203222031400111
62232420302022543
7145344026002446
oct20476105742037
94035218786380
101142211200031
11400455499380
12165450277a53
138392ccb1005
143d3d75c9d5d
151eaa1668256
hex109f117c41f

1142211200031 has 96 divisors (see below), whose sum is σ = 1928997607680. Its totient is φ = 643937817600.

The previous prime is 1142211199897. The next prime is 1142211200047. The reversal of 1142211200031 is 1300021122411.

1142211200031 is a `hidden beast` number, since 1 + 1 + 422 + 11 + 200 + 0 + 31 = 666.

It is not a de Polignac number, because 1142211200031 - 230 = 1141137458207 is a prime.

It is a super-2 number, since 2×11422112000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1142211199977 and 1142211200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142211200131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68033020 + ... + 68049806.

It is an arithmetic number, because the mean of its divisors is an integer number (20093725080).

Almost surely, 21142211200031 is an apocalyptic number.

1142211200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1142211200031 is a deficient number, since it is larger than the sum of its proper divisors (786786407649).

1142211200031 is a wasteful number, since it uses less digits than its factorization.

1142211200031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17477 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1142211200031 its reverse (1300021122411), we get a palindrome (2442232322442).

The spelling of 1142211200031 in words is "one trillion, one hundred forty-two billion, two hundred eleven million, two hundred thousand, thirty-one".

Divisors: 1 3 9 11 19 33 57 61 99 171 183 209 549 593 627 671 1159 1779 1881 2013 3477 5337 6039 6523 10431 11267 12749 16787 19569 33801 36173 38247 50361 58707 101403 108519 114741 123937 151083 184657 318953 325557 371811 397903 553971 687287 956859 1024007 1115433 1193709 1661913 2061861 2870577 3072021 3508483 3581127 6185583 7560157 9216063 9954691 10525449 11264077 19456133 22680471 29864073 31576347 33792231 58368399 68041413 89592219 101376693 109501601 175105197 189139129 214017463 328504803 567417387 607236151 642052389 985514409 1702252161 1821708453 1926157167 2080530419 5465125359 6241591257 6679597661 11537486869 18724773771 20038792983 34612460607 60116378949 103837381821 126912355559 380737066677 1142211200031