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102012330 = 23571937691
BaseRepresentation
bin1100001010010…
…01010110101010
321002221202121110
412011021112222
5202103343310
614042251150
72346043020
oct605112652
9232852543
10102012330
1152646412
122a1b6ab6
1318199734
14d796710
158e50d20
hex61495aa

102012330 has 128 divisors (see below), whose sum is σ = 302929920. Its totient is φ = 21461760.

The previous prime is 102012319. The next prime is 102012331. The reversal of 102012330 is 33210201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102012331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147285 + ... + 147975.

It is an arithmetic number, because the mean of its divisors is an integer number (2366640).

Almost surely, 2102012330 is an apocalyptic number.

102012330 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 102012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151464960).

102012330 is an abundant number, since it is smaller than the sum of its proper divisors (200917590).

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

102012330 is a wasteful number, since it uses less digits than its factorization.

102012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102012330 is about 10100.1153458760. The cubic root of 102012330 is about 467.2516988133.

Adding to 102012330 its reverse (33210201), we get a palindrome (135222531).

The spelling of 102012330 in words is "one hundred two million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 37 38 42 57 70 74 95 105 111 114 133 185 190 210 222 259 266 285 370 399 518 555 570 665 691 703 777 798 1110 1295 1330 1382 1406 1554 1995 2073 2109 2590 3455 3515 3885 3990 4146 4218 4837 4921 6910 7030 7770 9674 9842 10365 10545 13129 14511 14763 20730 21090 24185 24605 25567 26258 29022 29526 39387 48370 49210 51134 65645 72555 73815 76701 78774 91903 127835 131290 145110 147630 153402 178969 183806 196935 255670 275709 357938 383505 393870 459515 485773 536907 551418 767010 894845 919030 971546 1073814 1378545 1457319 1789690 2428865 2684535 2757090 2914638 3400411 4857730 5369070 6800822 7286595 10201233 14573190 17002055 20402466 34004110 51006165 102012330