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2020011210100 = 2252134137898897
BaseRepresentation
bin11101011001010010000…
…011001111010101110100
321011010000001110122120201
4131121102003033111310
5231043440332210400
64143551430410244
7265640521661332
oct35312203172564
97133001418521
102020011210100
11709755737154
122875a9800984
131186423655b0
146daaa452b52
1537829c1006a
hex1d6520cf574

2020011210100 has 72 divisors (see below), whose sum is σ = 4835747789208. Its totient is φ = 727658803200.

The previous prime is 2020011210089. The next prime is 2020011210103. The reversal of 2020011210100 is 10121100202.

It can be written as a sum of positive squares in 12 ways, for example, as 1812647551716 + 207363658384 = 1346346^2 + 455372^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020011210103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18896149 + ... + 19002748.

It is an arithmetic number, because the mean of its divisors is an integer number (67163163739).

Almost surely, 22020011210100 is an apocalyptic number.

2020011210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020011210100 is an abundant number, since it is smaller than the sum of its proper divisors (2815736579108).

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

2020011210100 is a wasteful number, since it uses less digits than its factorization.

2020011210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37898965 (or 37898958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2020011210100 its reverse (10121100202), we get a palindrome (2030132310302).

The spelling of 2020011210100 in words is "two trillion, twenty billion, eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 5330 10660 13325 26650 53300 37898897 75797794 151595588 189494485 378988970 492685661 757977940 947472425 985371322 1553854777 1894944850 1970742644 2463428305 3107709554 3789889700 4926856610 6215419108 7769273885 9853713220 12317141525 15538547770 20200112101 24634283050 31077095540 38846369425 40400224202 49268566100 77692738850 80800448404 101000560505 155385477700 202001121010 404002242020 505002802525 1010005605050 2020011210100