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100211100220212 = 22350361726908001
BaseRepresentation
bin10110110010010000110111…
…000001111111101100110100
3111010211002100212121211022020
4112302100313001333230310
5101113324313124021322
6553044202141033140
730052004324332302
oct2662206701775464
9433732325554266
10100211100220212
1129a2631a638093
12b2a56ba8557b0
1343bbb3507c557
141aa6359211272
15b8bac24cd05c
hex5b243707fb34

100211100220212 has 48 divisors (see below), whose sum is σ = 234670497570432. Its totient is φ = 33283258624000.

The previous prime is 100211100220211. The next prime is 100211100220219. The reversal of 100211100220212 is 212022001112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211100220191 and 100211100220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211100220211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9729789 + ... + 17178212.

It is an arithmetic number, because the mean of its divisors is an integer number (4888968699384).

Almost surely, 2100211100220212 is an apocalyptic number.

100211100220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211100220212 is an abundant number, since it is smaller than the sum of its proper divisors (134459397350220).

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

100211100220212 is a wasteful number, since it uses less digits than its factorization.

100211100220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26909128 (or 26909126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211100220212 its reverse (212022001112001), we get a palindrome (312233101332213).

The spelling of 100211100220212 in words is "one hundred trillion, two hundred eleven billion, one hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 503 617 1006 1234 1509 1851 2012 2468 3018 3702 6036 7404 310351 620702 931053 1241404 1862106 3724212 26908001 53816002 80724003 107632004 161448006 322896012 13534724503 16602236617 27069449006 33204473234 40604173509 49806709851 54138898012 66408946468 81208347018 99613419702 162416694036 199226839404 8350925018351 16701850036702 25052775055053 33403700073404 50105550110106 100211100220212