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12100243313400 = 23352111833370199
BaseRepresentation
bin1011000000010100111010…
…1101000101001011111000
31120211202211202120001021120
42300011032231011023320
53041222244242012100
641422435224105240
72356133211063354
oct260051655051370
946752752501246
1012100243313400
113945758996960
121435137005220
1369a081740348
142db925098464
1515eb4d6bd0a0
hexb014eb452f8

12100243313400 has 96 divisors (see below), whose sum is σ = 40920822864000. Its totient is φ = 2933392316800.

The previous prime is 12100243313393. The next prime is 12100243313407. The reversal of 12100243313400 is 431334200121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12100243313393) and next prime (12100243313407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100243313407) 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, 916678500 + ... + 916691699.

It is an arithmetic number, because the mean of its divisors is an integer number (426258571500).

Almost surely, 212100243313400 is an apocalyptic number.

12100243313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100243313400 is an abundant number, since it is smaller than the sum of its proper divisors (28820579550600).

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

12100243313400 is a wasteful number, since it uses less digits than its factorization.

12100243313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833370229 (or 1833370220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12100243313400 its reverse (431334200121), we get a palindrome (12531577513521).

The spelling of 12100243313400 in words is "twelve trillion, one hundred billion, two hundred forty-three million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1833370199 3666740398 5500110597 7333480796 9166850995 11000221194 14666961592 18333701990 20167072189 22000442388 27500552985 36667403980 40334144378 44000884776 45834254975 55001105970 60501216567 73334807960 80668288756 91668509950 100835360945 110002211940 121002433134 137502764925 161336577512 183337019900 201670721890 220004423880 242004866268 275005529850 302506082835 366674039800 403341443780 484009732536 504176804725 550011059700 605012165670 806682887560 1008353609450 1100022119400 1210024331340 1512530414175 2016707218900 2420048662680 3025060828350 4033414437800 6050121656700 12100243313400