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103656214452 = 22372587300317
BaseRepresentation
bin110000010001001100…
…1000100111110110100
3100220112222110021120210
41200202121010332310
53144241442330302
6115341412225420
710326461166600
oct1404231047664
9326488407523
10103656214452
113aa6225a13a
121810a30b270
139a0c14274b
145034884500
152a6a20266c
hex1822644fb4

103656214452 has 72 divisors (see below), whose sum is σ = 281832826464. Its totient is φ = 29565509568.

The previous prime is 103656214429. The next prime is 103656214489. The reversal of 103656214452 is 254412656301.

It is a super-2 number, since 2×1036562144522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103656214452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194998 + ... + 495314.

It is an arithmetic number, because the mean of its divisors is an integer number (3914344812).

Almost surely, 2103656214452 is an apocalyptic number.

103656214452 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 103656214452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140916413232).

103656214452 is an abundant number, since it is smaller than the sum of its proper divisors (178176612012).

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

103656214452 is a wasteful number, since it uses less digits than its factorization.

103656214452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300925 (or 300916 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 103656214452 in words is "one hundred three billion, six hundred fifty-six million, two hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 587 588 1174 1761 2348 3522 4109 7044 8218 12327 16436 24654 28763 49308 57526 86289 115052 172578 300317 345156 600634 900951 1201268 1801902 2102219 3603804 4204438 6306657 8408876 12613314 14715533 25226628 29431066 44146599 58862132 88293198 176286079 176586396 352572158 528858237 705144316 1057716474 1234002553 2115432948 2468005106 3702007659 4936010212 7404015318 8638017871 14808030636 17276035742 25914053613 34552071484 51828107226 103656214452