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101051613020 = 225296110128279
BaseRepresentation
bin101111000011100100…
…1010011111101011100
3100122211110102211010002
41132013021103331130
53123423203104040
6114231130433432
710205103352451
oct1360711237534
9318743384102
10101051613020
1139946001576
1217701b92878
1396b564b277
144c689a5828
152966713a15
hex1787253f5c

101051613020 has 96 divisors (see below), whose sum is σ = 225341827200. Its totient is φ = 38005632000.

The previous prime is 101051613011. The next prime is 101051613083. The reversal of 101051613020 is 20316150101.

It is a super-2 number, since 2×1010516130202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101051612983 and 101051613001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559241 + ... + 3587519.

It is an arithmetic number, because the mean of its divisors is an integer number (2347310700).

Almost surely, 2101051613020 is an apocalyptic number.

101051613020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101051613020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112670913600).

101051613020 is an abundant number, since it is smaller than the sum of its proper divisors (124290214180).

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

101051613020 is a wasteful number, since it uses less digits than its factorization.

101051613020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28479 (or 28477 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101051613020 its reverse (20316150101), we get a palindrome (121367763121).

The spelling of 101051613020 in words is "one hundred one billion, fifty-one million, six hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 61 101 116 122 145 202 244 290 305 404 505 580 610 1010 1220 1769 2020 2929 3538 5858 6161 7076 8845 11716 12322 14645 17690 24644 28279 29290 30805 35380 56558 58580 61610 113116 123220 141395 178669 282790 357338 565580 714676 820091 893345 1640182 1725019 1786690 2856179 3280364 3450038 3573380 4100455 5712358 6900076 8200910 8625095 11424716 14280895 16401820 17250190 28561790 34500380 50025551 57123580 82829191 100051102 165658382 174226919 200102204 250127755 331316764 348453838 414145955 500255510 696907676 828291910 871134595 1000511020 1656583820 1742269190 3484538380 5052580651 10105161302 20210322604 25262903255 50525806510 101051613020