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2212010102100 = 2235217433727471
BaseRepresentation
bin100000001100000110000…
…100111000110101010100
321211110120210020221021210
4200030012010320311110
5242220144041231400
64412103341141420
7315545446432011
oct40140604706524
97743523227253
102212010102100
117831210434a7
122b885185a870
1313078cb44226
14790c1a5c708
153c815a1a950
hex20306138d54

2212010102100 has 72 divisors (see below), whose sum is σ = 6776558022528. Its totient is φ = 555171161600.

The previous prime is 2212010102089. The next prime is 2212010102101. The reversal of 2212010102100 is 12010102122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212010102101) 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, 216858636 + ... + 216868835.

It is an arithmetic number, because the mean of its divisors is an integer number (94118861424).

Almost surely, 22212010102100 is an apocalyptic number.

2212010102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212010102100 is an abundant number, since it is smaller than the sum of its proper divisors (4564547920428).

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

2212010102100 is a wasteful number, since it uses less digits than its factorization.

2212010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433727505 (or 433727498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2212010102100 its reverse (12010102122), we get a palindrome (2224020204222).

The spelling of 2212010102100 in words is "two trillion, two hundred twelve billion, ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 433727471 867454942 1301182413 1734909884 2168637355 2602364826 4337274710 5204729652 6505912065 7373367007 8674549420 10843186775 13011824130 14746734014 21686373550 22120101021 26023648260 29493468028 32529560325 36866835035 43372747100 44240202042 65059120650 73733670070 88480404084 110600505105 130118241300 147467340140 184334175175 221201010210 368668350350 442402020420 553002525525 737336700700 1106005051050 2212010102100