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101112010020 = 2234578916403
BaseRepresentation
bin101111000101010111…
…1101101010100100100
3100122222200002022020000
41132022233231110210
53124034133310040
6114241125141300
710206435622140
oct1361257552444
9318880068200
10101112010020
113997710374a
121771a25a830
1396c5006b38
144c72a08220
15296bb94130
hex178abed524

101112010020 has 120 divisors (see below), whose sum is σ = 362505321024. Its totient is φ = 23111313984.

The previous prime is 101112010001. The next prime is 101112010057. The reversal of 101112010020 is 20010211101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101112009984 and 101112010011.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4446862 + ... + 4469541.

Almost surely, 2101112010020 is an apocalyptic number.

101112010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112010020 is an abundant number, since it is smaller than the sum of its proper divisors (261393311004).

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

101112010020 is a wasteful number, since it uses less digits than its factorization.

101112010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916431 (or 8916420 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101112010020 its reverse (20010211101), we get a palindrome (121122221121).

The spelling of 101112010020 in words is "one hundred one billion, one hundred twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 8916403 17832806 26749209 35665612 44582015 53498418 62414821 80247627 89164030 106996836 124829642 133746045 160495254 178328060 187244463 240742881 249659284 267492090 312074105 320990508 374488926 401238135 481485762 534984180 561733389 624148210 722228643 748977852 802476270 936222315 962971524 1123466778 1203714405 1248296420 1444457286 1604952540 1685200167 1872444630 2246933556 2407428810 2808666945 2888914572 3370400334 3611143215 3744889260 4814857620 5055600501 5617333890 6740800668 7222286430 8426000835 10111201002 11234667780 14444572860 16852001670 20222402004 25278002505 33704003340 50556005010 101112010020