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101000102130 = 232537254311927
BaseRepresentation
bin101111000010000010…
…0110100000011110010
3100122200212111210110100
41132010010310003302
53123322011232010
6114222050413230
710203606463104
oct1360404640362
9318625453410
10101000102130
1139919a19694
12176a8891216
1396a7a84255
144c61bd7574
152961e3b2c0
hex17841340f2

101000102130 has 96 divisors (see below), whose sum is σ = 269826246144. Its totient is φ = 26192930688.

The previous prime is 101000102117. The next prime is 101000102153. The reversal of 101000102130 is 31201000101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8462227 + ... + 8474153.

It is an arithmetic number, because the mean of its divisors is an integer number (2810690064).

Almost surely, 2101000102130 is an apocalyptic number.

101000102130 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 101000102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134913123072).

101000102130 is an abundant number, since it is smaller than the sum of its proper divisors (168826144014).

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

101000102130 is a wasteful number, since it uses less digits than its factorization.

101000102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14520 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101000102130 its reverse (31201000101), we get a palindrome (132201102231).

The spelling of 101000102130 in words is "one hundred one billion, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2543 3330 5086 7629 11927 12715 15258 22887 23854 25430 35781 38145 45774 59635 71562 76290 94091 107343 114435 119270 178905 188182 214686 228870 282273 357810 441299 470455 536715 564546 846819 882598 940910 1073430 1323897 1411365 1693638 2206495 2647794 2822730 3971691 4234095 4412990 6619485 7943382 8468190 13238970 19858455 30330361 39716910 60660722 90991083 151651805 181982166 272973249 303303610 454955415 545946498 909910830 1122223357 1364866245 2244446714 2729732490 3366670071 5611116785 6733340142 10100010213 11222233570 16833350355 20200020426 33666700710 50500051065 101000102130