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1005050130 = 235753731237
BaseRepresentation
bin111011111001111…
…101100100010010
32121001011211120220
4323321331210102
54024243101010
6243421413510
733622533210
oct7371754422
92531154526
101005050130
11476363047
1224070a296
131302b7a26
14976a3cb0
155d37c970
hex3be7d912

1005050130 has 128 divisors (see below), whose sum is σ = 2849499648. Its totient is φ = 222124032.

The previous prime is 1005050117. The next prime is 1005050143. The reversal of 1005050130 is 310505001.

It is an interprime number because it is at equal distance from previous prime (1005050117) and next prime (1005050143).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811872 + ... + 813108.

It is an arithmetic number, because the mean of its divisors is an integer number (22261716).

Almost surely, 21005050130 is an apocalyptic number.

1005050130 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 1005050130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424749824).

1005050130 is an abundant number, since it is smaller than the sum of its proper divisors (1844449518).

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

1005050130 is a wasteful number, since it uses less digits than its factorization.

1005050130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1005050130 is about 31702.5256091687. The cubic root of 1005050130 is about 1001.6805508335.

Adding to 1005050130 its reverse (310505001), we get a palindrome (1315555131).

The spelling of 1005050130 in words is "one billion, five million, fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 73 105 106 146 159 210 219 265 318 365 371 438 511 530 730 742 795 1022 1095 1113 1237 1533 1590 1855 2190 2226 2474 2555 3066 3710 3711 3869 5110 5565 6185 7422 7665 7738 8659 11130 11607 12370 15330 17318 18555 19345 23214 25977 27083 37110 38690 43295 51954 54166 58035 65561 81249 86590 90301 116070 129885 131122 135415 162498 180602 196683 259770 270830 270903 327805 393366 406245 451505 458927 541806 632107 655610 812490 903010 917854 983415 1264214 1354515 1376781 1896321 1966830 2294635 2709030 2753562 3160535 3792642 4589270 4785953 6321070 6883905 9481605 9571906 13767810 14357859 18963210 23929765 28715718 33501671 47859530 67003342 71789295 100505013 143578590 167508355 201010026 335016710 502525065 1005050130