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102050130 = 235713291289
BaseRepresentation
bin1100001010100…
…10100101010010
321010000200110110
412011102211102
5202111101010
614043142150
72346261150
oct605224522
9233020413
10102050130
1152671856
122a214956
13181b09c0
14d7a63d0
158e5c120
hex6152952

102050130 has 128 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 20772864.

The previous prime is 102050119. The next prime is 102050141. The reversal of 102050130 is 31050201.

It is an interprime number because it is at equal distance from previous prime (102050119) and next prime (102050141).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78526 + ... + 79814.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 2102050130 is an apocalyptic number.

102050130 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 102050130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

102050130 is an abundant number, since it is smaller than the sum of its proper divisors (210026670).

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

102050130 is a wasteful number, since it uses less digits than its factorization.

102050130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102050130 is about 10101.9864383199. The cubic root of 102050130 is about 467.3094040376.

The spelling of 102050130 in words is "one hundred two million, fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 29 30 35 39 42 58 65 70 78 87 91 105 130 145 174 182 195 203 210 273 290 377 390 406 435 455 546 609 754 870 910 1015 1131 1218 1289 1365 1885 2030 2262 2578 2639 2730 3045 3770 3867 5278 5655 6090 6445 7734 7917 9023 11310 12890 13195 15834 16757 18046 19335 26390 27069 33514 37381 38670 39585 45115 50271 54138 74762 79170 83785 90230 100542 112143 117299 135345 167570 186905 224286 234598 251355 261667 270690 351897 373810 485953 502710 523334 560715 586495 703794 785001 971906 1121430 1172990 1308335 1457859 1570002 1759485 2429765 2616670 2915718 3401671 3518970 3925005 4859530 6803342 7289295 7850010 10205013 14578590 17008355 20410026 34016710 51025065 102050130