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10323201330 = 236513108929
BaseRepresentation
bin10011001110100111…
…11000110100110010
3222122102220222000000
421213103320310302
5132120214420310
64424210010430
7513550522611
oct114723706462
928572828000
1010323201330
1144181a5a52
122001276a16
13c8694c870
146dd055878
154064514c0
hex2674f8d32

10323201330 has 112 divisors (see below), whose sum is σ = 30003243480. Its totient is φ = 2541072384.

The previous prime is 10323201313. The next prime is 10323201331. The reversal of 10323201330 is 3310232301.

10323201330 is a `hidden beast` number, since 10 + 3 + 2 + 320 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5719443129 + 4603758201 = 75627^2 + 67851^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10323201331) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40306 + ... + 149234.

Almost surely, 210323201330 is an apocalyptic number.

10323201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001621740).

10323201330 is an abundant number, since it is smaller than the sum of its proper divisors (19680042150).

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

10323201330 is a wasteful number, since it uses less digits than its factorization.

10323201330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108967 (or 108952 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10323201330 its reverse (3310232301), we get a palindrome (13633433631).

The spelling of 10323201330 in words is "ten billion, three hundred twenty-three million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1755 2106 2430 3159 3510 3645 5265 6318 7290 9477 10530 15795 18954 31590 47385 94770 108929 217858 326787 544645 653574 980361 1089290 1416077 1633935 1960722 2832154 2941083 3267870 4248231 4901805 5882166 7080385 8496462 8823249 9803610 12744693 14160770 14705415 17646498 21241155 25489386 26469747 29410830 38234079 42482310 44116245 52939494 63723465 76468158 79409241 88232490 114702237 127446930 132348735 158818482 191170395 229404474 264697470 344106711 382340790 397046205 573511185 688213422 794092410 1032320133 1147022370 1720533555 2064640266 3441067110 5161600665 10323201330