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20011212302100 = 22352110696026203
BaseRepresentation
bin1001000110011001110010…
…01100110110011100010100
32121212001102210101110121220
410203030321030312130110
510110330430322131400
6110321005104410340
74133522332020165
oct443147114663424
977761383343556
1020011212302100
116415786720608
1222b23826169b0
13b220841b2016
144d27953d376c
1524a80e3ae7a0
hex123339336714

20011212302100 has 72 divisors (see below), whose sum is σ = 57904347947040. Its totient is φ = 5335840298880.

The previous prime is 20011212302099. The next prime is 20011212302131. The reversal of 20011212302100 is 120321211002.

It is a super-3 number, since 3×200112123021003 (a number of 41 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20011212302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307599 + ... + 6333801.

It is an arithmetic number, because the mean of its divisors is an integer number (804227054820).

Almost surely, 220011212302100 is an apocalyptic number.

20011212302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011212302100 is an abundant number, since it is smaller than the sum of its proper divisors (37893135644940).

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

20011212302100 is a wasteful number, since it uses less digits than its factorization.

20011212302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037289 (or 6037282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20011212302100 its reverse (120321211002), we get a palindrome (20131533513102).

The spelling of 20011212302100 in words is "twenty trillion, eleven billion, two hundred twelve million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 11069 22138 33207 44276 55345 66414 110690 132828 166035 221380 276725 332070 553450 664140 830175 1106900 1660350 3320700 6026203 12052406 18078609 24104812 30131015 36157218 60262030 72314436 90393045 120524060 150655075 180786090 301310150 361572180 451965225 602620300 903930450 1807860900 66704041007 133408082014 200112123021 266816164028 333520205035 400224246042 667040410070 800448492084 1000560615105 1334080820140 1667601025175 2001121230210 3335202050350 4002242460420 5002803075525 6670404100700 10005606151050 20011212302100