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101130312030 = 235113182112041
BaseRepresentation
bin101111000101111010…
…1100001100101011110
3100200000221112010212020
41132023311201211132
53124103324441110
6114243021321010
710210050316566
oct1361365414536
9320027463766
10101130312030
1139986474280
1217724406166
1396c8a44427
144c7520dda6
15296d5abd70
hex178bd6195e

101130312030 has 128 divisors (see below), whose sum is σ = 273674391552. Its totient is φ = 23694720000.

The previous prime is 101130312013. The next prime is 101130312037. The reversal of 101130312030 is 30213031101.

It is a super-2 number, since 2×1011303120302 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130312037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8392810 + ... + 8404850.

It is an arithmetic number, because the mean of its divisors is an integer number (2138081184).

Almost surely, 2101130312030 is an apocalyptic number.

101130312030 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 101130312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136837195776).

101130312030 is an abundant number, since it is smaller than the sum of its proper divisors (172544079522).

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

101130312030 is a wasteful number, since it uses less digits than its factorization.

101130312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12914.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101130312030 its reverse (30213031101), we get a palindrome (131343343131).

The spelling of 101130312030 in words is "one hundred one billion, one hundred thirty million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 821 930 1023 1642 1705 2046 2463 3410 4105 4926 5115 8210 9031 10230 12041 12315 18062 24082 24630 25451 27093 36123 45155 50902 54186 60205 72246 76353 90310 120410 127255 132451 135465 152706 180615 254510 264902 270930 279961 361230 373271 381765 397353 559922 662255 746542 763530 794706 839883 1119813 1324510 1399805 1679766 1866355 1986765 2239626 2799610 3732710 3973530 4105981 4199415 5599065 8211962 8398830 9885661 11198130 12317943 19771322 20529905 24635886 29656983 41059810 49428305 59313966 61589715 98856610 108742271 123179430 148284915 217484542 296569830 306455491 326226813 543711355 612910982 652453626 919366473 1087422710 1532277455 1631134065 1838732946 3064554910 3262268130 3371010401 4596832365 6742020802 9193664730 10113031203 16855052005 20226062406 33710104010 50565156015 101130312030