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100013130 = 2345731569
BaseRepresentation
bin1011111011000…
…01010001001010
320222012012020000
411331201101022
5201100410010
613531343430
72323045320
oct575412112
9228165200
10100013130
1151500388
12295b1b76
1317949789
14d3d5d10
158ba87c0
hex5f6144a

100013130 has 160 divisors (see below), whose sum is σ = 317813760. Its totient is φ = 22083840.

The previous prime is 100013113. The next prime is 100013143. The reversal of 100013130 is 31310001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175486 + ... + 176054.

It is an arithmetic number, because the mean of its divisors is an integer number (1986336).

Almost surely, 2100013130 is an apocalyptic number.

100013130 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 100013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158906880).

100013130 is an abundant number, since it is smaller than the sum of its proper divisors (217800630).

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

100013130 is a wasteful number, since it uses less digits than its factorization.

100013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100013130 is about 10000.6564784518. The cubic root of 100013130 is about 464.1791971594.

Adding to 100013130 its reverse (31310001), we get a palindrome (131323131).

It can be divided in two parts, 10001 and 3130, that added together give a palindrome (13131).

The spelling of 100013130 in words is "one hundred million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 81 90 93 105 126 135 155 162 186 189 210 217 270 279 310 315 378 405 434 465 558 567 569 630 651 810 837 930 945 1085 1134 1138 1302 1395 1674 1707 1890 1953 2170 2511 2790 2835 2845 3255 3414 3906 3983 4185 5022 5121 5670 5690 5859 6510 7966 8370 8535 9765 10242 11718 11949 12555 15363 17070 17577 17639 19530 19915 23898 25110 25605 29295 30726 35154 35278 35847 39830 46089 51210 52917 58590 59745 71694 76815 87885 88195 92178 105834 107541 119490 123473 153630 158751 175770 176390 179235 215082 230445 246946 264585 317502 322623 358470 370419 460890 476253 529170 537705 617365 645246 740838 793755 952506 1075410 1111257 1234730 1428759 1587510 1613115 1852095 2222514 2381265 2857518 3226230 3333771 3704190 4762530 5556285 6667542 7143795 10001313 11112570 14287590 16668855 20002626 33337710 50006565 100013130