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10141243320 = 23351359110183
BaseRepresentation
bin10010111000111011…
…10001011110111000
3222011202112112112110
421130131301132320
5131232124241240
64354150012320
7506211101025
oct113435613670
928152475473
1010141243320
11433451622a
121b703470a0
13c580416c0
146c2c0c54c
153e54acc80
hex25c7717b8

10141243320 has 128 divisors (see below), whose sum is σ = 33319641600. Its totient is φ = 2453973504.

The previous prime is 10141243279. The next prime is 10141243337. The reversal of 10141243320 is 2334214101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36949 + ... + 147131.

It is an arithmetic number, because the mean of its divisors is an integer number (260309700).

Almost surely, 210141243320 is an apocalyptic number.

10141243320 is a gapful number since it is divisible by the number (10) 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 10141243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16659820800).

10141243320 is an abundant number, since it is smaller than the sum of its proper divisors (23178398280).

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

10141243320 is a wasteful number, since it uses less digits than its factorization.

10141243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110269 (or 110265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10141243320 its reverse (2334214101), we get a palindrome (12475457421).

The spelling of 10141243320 in words is "ten billion, one hundred forty-one million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1770 2301 2360 3068 3540 3835 4602 6136 7080 7670 9204 11505 15340 18408 23010 30680 46020 92040 110183 220366 330549 440732 550915 661098 881464 1101830 1322196 1432379 1652745 2203660 2644392 2864758 3305490 4297137 4407320 5729516 6500797 6610980 7161895 8594274 11459032 13001594 13221960 14323790 17188548 19502391 21485685 26003188 28647580 32503985 34377096 39004782 42971370 52006376 57295160 65007970 78009564 84510361 85942740 97511955 130015940 156019128 169020722 171885480 195023910 253531083 260031880 338041444 390047820 422551805 507062166 676082888 780095640 845103610 1014124332 1267655415 1690207220 2028248664 2535310830 3380414440 5070621660 10141243320