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1303229565252 = 2234131139220897
BaseRepresentation
bin10010111101101110100…
…010010000100101000100
311121120212022100100220000
4102331232202100211010
5132323003232042002
62434410112241300
7163104146346456
oct22755642204504
94546768310800
101303229565252
1146277312938a
121906a8b40230
1395b812180b4
144711046c2d6
1523d7771361c
hex12f6e890944

1303229565252 has 120 divisors (see below), whose sum is σ = 3457619198880. Its totient is φ = 427990417920.

The previous prime is 1303229565251. The next prime is 1303229565263. The reversal of 1303229565252 is 2525659223031.

1303229565252 is a `hidden beast` number, since 1 + 3 + 0 + 32 + 2 + 9 + 565 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1303229565198 and 1303229565207.

It is not an unprimeable number, because it can be changed into a prime (1303229565251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5789268 + ... + 6010164.

It is an arithmetic number, because the mean of its divisors is an integer number (28813493324).

Almost surely, 21303229565252 is an apocalyptic number.

1303229565252 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 1303229565252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728809599440).

1303229565252 is an abundant number, since it is smaller than the sum of its proper divisors (2154389633628).

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

1303229565252 is a wasteful number, since it uses less digits than its factorization.

1303229565252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221183 (or 221172 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1303229565252 in words is "one trillion, three hundred three billion, two hundred twenty-nine million, five hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 139 162 262 278 324 393 417 524 556 786 834 1179 1251 1572 1668 2358 2502 3537 3753 4716 5004 7074 7506 10611 11259 14148 15012 18209 21222 22518 36418 42444 45036 54627 72836 109254 163881 218508 220897 327762 441794 491643 655524 662691 883588 983286 1325382 1474929 1966572 1988073 2650764 2949858 3976146 5899716 5964219 7952292 11928438 17892657 23856876 28937507 30704683 35785314 57875014 61409366 71570628 86812521 92114049 115750028 122818732 173625042 184228098 260437563 276342147 347250084 368456196 520875126 552684294 781312689 829026441 1041750252 1105368588 1562625378 1658052882 2343938067 2487079323 3125250756 3316105764 4022313473 4687876134 4974158646 8044626946 9375752268 9948317292 12066940419 16089253892 24133880838 36200821257 48267761676 72401642514 108602463771 144803285028 217204927542 325807391313 434409855084 651614782626 1303229565252