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101212001212200 = 233521590231060769
BaseRepresentation
bin10111000000110101000001…
…011000010001011100101000
3111021100202212101102101102220
4113000311001120101130220
5101231224134302242300
6555132052414554040
730214216512361164
oct2700650130213450
9437322771371386
10101212001212200
112a28185010265a
12b427692508920
134462334bcb138
141adc989191ca4
15ba7b52db9da0
hex5c0d41611728

101212001212200 has 96 divisors (see below), whose sum is σ = 313759472572800. Its totient is φ = 26989671823360.

The previous prime is 101212001212163. The next prime is 101212001212213. The reversal of 101212001212200 is 2212100212101.

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 101212001212200.

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, 94883416 + ... + 95944184.

It is an arithmetic number, because the mean of its divisors is an integer number (3268327839300).

Almost surely, 2101212001212200 is an apocalyptic number.

101212001212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212001212200 is an abundant number, since it is smaller than the sum of its proper divisors (212547471360600).

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

101212001212200 is a wasteful number, since it uses less digits than its factorization.

101212001212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219811 (or 1219802 counting only the distinct ones).

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

Adding to 101212001212200 its reverse (2212100212101), we get a palindrome (103424101424301).

The spelling of 101212001212200 in words is "one hundred one trillion, two hundred twelve billion, one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 159023 318046 477069 636092 795115 954138 1060769 1272184 1590230 1908276 2121538 2385345 3180460 3182307 3816552 3975575 4243076 4770690 5303845 6360920 6364614 7951150 8486152 9541380 10607690 11926725 12729228 15902300 15911535 19082760 21215380 23853450 25458456 26519225 31804600 31823070 42430760 47706900 53038450 63646140 79557675 95413800 106076900 127292280 159115350 212153800 318230700 636461400 168686668687 337373337374 506060006061 674746674748 843433343435 1012120012122 1349493349496 1686866686870 2024240024244 2530300030305 3373733373740 4048480048488 4217166717175 5060600060610 6747466747480 8434333434350 10121200121220 12651500151525 16868666868700 20242400242440 25303000303050 33737333737400 50606000606100 101212001212200