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12402202100 = 2252177992347
BaseRepresentation
bin10111000110011101…
…01001010111110100
31012000022221010220112
423203032221113310
5200344430431400
65410354122152
7616223656421
oct134316512764
935008833815
1012402202100
1152947a1002
1224a1580358
131228597532
148591d6d48
154c8c1b835
hex2e33a95f4

12402202100 has 72 divisors (see below), whose sum is σ = 28856903040. Its totient is φ = 4609912320.

The previous prime is 12402202097. The next prime is 12402202103. The reversal of 12402202100 is 120220421.

It is an interprime number because it is at equal distance from previous prime (12402202097) and next prime (12402202103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88127 + ... + 180473.

It is an arithmetic number, because the mean of its divisors is an integer number (400790320).

Almost surely, 212402202100 is an apocalyptic number.

12402202100 is a gapful number since it is divisible by the number (10) 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 12402202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428451520).

12402202100 is an abundant number, since it is smaller than the sum of its proper divisors (16454700940).

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

12402202100 is a wasteful number, since it uses less digits than its factorization.

12402202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92457 (or 92450 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12402202100 its reverse (120220421), we get a palindrome (12522422521).

The spelling of 12402202100 in words is "twelve billion, four hundred two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 79 85 100 158 170 316 340 395 425 790 850 1343 1580 1700 1975 2686 3950 5372 6715 7900 13430 26860 33575 67150 92347 134300 184694 369388 461735 923470 1569899 1846940 2308675 3139798 4617350 6279596 7295413 7849495 9234700 14590826 15698990 29181652 31397980 36477065 39247475 72954130 78494950 124022021 145908260 156989900 182385325 248044042 364770650 496088084 620110105 729541300 1240220210 2480440420 3100550525 6201101050 12402202100