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11312001122032 = 2413295873194773
BaseRepresentation
bin1010010010011100011111…
…0011101111111011110000
31111001102020210210212112201
42210213013303233323300
52440313434241401112
640020354522232544
72245156635024652
oct244470763577360
944042223725481
1011312001122032
113671435803886
121328412355754
136409426bb0b0
142b170a5086d2
151493b775b257
hexa49c7cefef0

11312001122032 has 80 divisors (see below), whose sum is σ = 24458422998240. Its totient is φ = 5032302621696.

The previous prime is 11312001121999. The next prime is 11312001122083. The reversal of 11312001122032 is 23022110021311.

It is a super-2 number, since 2×113120011220322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1943398 + ... + 5138170.

It is an arithmetic number, because the mean of its divisors is an integer number (305730287478).

Almost surely, 211312001122032 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 11312001122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229211499120).

11312001122032 is an abundant number, since it is smaller than the sum of its proper divisors (13146421876208).

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

11312001122032 is a wasteful number, since it uses less digits than its factorization.

11312001122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195410 (or 3195404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11312001122032 its reverse (23022110021311), we get a palindrome (34334111143343).

The spelling of 11312001122032 in words is "eleven trillion, three hundred twelve billion, one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 587 754 1174 1508 2348 3016 4696 6032 7631 9392 15262 17023 30524 34046 61048 68092 122096 136184 221299 272368 442598 885196 1770392 3194773 3540784 6389546 12779092 25558184 41532049 51116368 83064098 92648417 166128196 185296834 332256392 370593668 664512784 741187336 1204429421 1482374672 1875331751 2408858842 3750663502 4817717684 7501327004 9635435368 15002654008 19270870736 24379312763 30005308016 48758625526 54384620779 97517251052 108769241558 195034502104 217538483116 390069004208 435076966232 707000070127 870153932464 1414000140254 2828000280508 5656000561016 11312001122032