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1030200132 = 2231379179467
BaseRepresentation
bin111101011001111…
…001101101000100
32122210111120220110
4331121321231010
54102212401012
6250120433020
734346361633
oct7531715504
92583446813
101030200132
11489580675
12249018770
131355822a0
149ab6d51a
156069973c
hex3d679b44

1030200132 has 96 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 310557312.

The previous prime is 1030200109. The next prime is 1030200137. The reversal of 1030200132 is 2310020301.

It is a happy number.

It is a super-2 number, since 2×10302001322 = 2122624623945634848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1030200137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2205763 + ... + 2206229.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 21030200132 is an apocalyptic number.

1030200132 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 1030200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

1030200132 is an abundant number, since it is smaller than the sum of its proper divisors (1611566268).

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

1030200132 is a wasteful number, since it uses less digits than its factorization.

1030200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

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

The square root of 1030200132 is about 32096.7308615691. The cubic root of 1030200132 is about 1009.9670387570.

Adding to 1030200132 its reverse (2310020301), we get a palindrome (3340220433).

The spelling of 1030200132 in words is "one billion, thirty million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 179 237 316 358 467 474 537 716 934 948 1027 1074 1401 1868 2054 2148 2327 2802 3081 4108 4654 5604 6071 6162 6981 9308 12142 12324 13962 14141 18213 24284 27924 28282 36426 36893 42423 56564 72852 73786 83593 84846 110679 147572 167186 169692 183833 221358 250779 334372 367666 442716 479609 501558 551499 735332 959218 1003116 1086709 1102998 1438827 1918436 2173418 2205996 2877654 3260127 4346836 5755308 6520254 6603847 13040508 13207694 19811541 26415388 39623082 79246164 85850011 171700022 257550033 343400044 515100066 1030200132