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2100000001020 = 2235413492446013
BaseRepresentation
bin11110100011110001110…
…000010000101111111100
321102202110121111020121120
4132203301300100233330
5233401300000013040
64244420544030540
7304501646326365
oct36436160205774
97382417436546
102100000001020
1173a672287729
1229abb1902450
1312304c0743cc
14738d7910b6c
153995c2177d0
hex1e8f1c10bfc

2100000001020 has 96 divisors (see below), whose sum is σ = 6040676174400. Its totient is φ = 544775792640.

The previous prime is 2100000000997. The next prime is 2100000001049. The reversal of 2100000001020 is 201000000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 364467 + ... + 2081546.

It is an arithmetic number, because the mean of its divisors is an integer number (62923710150).

Almost surely, 22100000001020 is an apocalyptic number.

2100000001020 is a gapful number since it is divisible by the number (20) 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 2100000001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020338087200).

2100000001020 is an abundant number, since it is smaller than the sum of its proper divisors (3940676173380).

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

2100000001020 is a wasteful number, since it uses less digits than its factorization.

2100000001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446415 (or 2446413 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2100000001020 its reverse (201000000012), we get a palindrome (2301000001032).

The spelling of 2100000001020 in words is "two trillion, one hundred billion, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 349 410 492 615 698 820 1047 1230 1396 1745 2094 2460 3490 4188 5235 6980 10470 14309 20940 28618 42927 57236 71545 85854 143090 171708 214635 286180 429270 858540 2446013 4892026 7338039 9784052 12230065 14676078 24460130 29352156 36690195 48920260 73380390 100286533 146760780 200573066 300859599 401146132 501432665 601719198 853658537 1002865330 1203438396 1504297995 1707317074 2005730660 2560975611 3008595990 3414634148 4268292685 5121951222 6017191980 8536585370 10243902444 12804878055 17073170740 25609756110 35000000017 51219512220 70000000034 105000000051 140000000068 175000000085 210000000102 350000000170 420000000204 525000000255 700000000340 1050000000510 2100000001020