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1014212102200 = 235211253790747
BaseRepresentation
bin11101100001000111100…
…00001000100000111000
310120221212012000000120121
432300203300020200320
5113104101244232300
62053531141103024
7133163056425223
oct16604360104070
93527765000517
101014212102200
11361141322700
121446896b7a74
137484180b37b
1437133b725ba
151b5ae2e481a
hexec23c08838

1014212102200 has 144 divisors (see below), whose sum is σ = 2640805743240. Its totient is φ = 361845369600.

The previous prime is 1014212102171. The next prime is 1014212102207. The reversal of 1014212102200 is 22012124101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014212102207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 887227 + ... + 1677973.

Almost surely, 21014212102200 is an apocalyptic number.

1014212102200 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 1014212102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320402871620).

1014212102200 is an abundant number, since it is smaller than the sum of its proper divisors (1626593641040).

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

1014212102200 is a wasteful number, since it uses less digits than its factorization.

1014212102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790838 (or 790818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1014212102200 its reverse (22012124101), we get a palindrome (1036224226301).

The spelling of 1014212102200 in words is "one trillion, fourteen billion, two hundred twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 121 200 212 220 242 265 275 424 440 484 530 550 583 605 968 1060 1100 1166 1210 1325 2120 2200 2332 2420 2650 2915 3025 4664 4840 5300 5830 6050 6413 10600 11660 12100 12826 14575 23320 24200 25652 29150 32065 51304 58300 64130 116600 128260 160325 256520 320650 641300 790747 1282600 1581494 3162988 3953735 6325976 7907470 8698217 15814940 17396434 19768675 31629880 34792868 39537350 41909591 43491085 69585736 79074700 83819182 86982170 95680387 158149400 167638364 173964340 191360774 209547955 217455425 335276728 347928680 382721548 419095910 434910850 461005501 478401935 765443096 838191820 869821700 922011002 956803870 1047739775 1676383640 1739643400 1844022004 1913607740 2095479550 2305027505 2392009675 3688044008 3827215480 4190959100 4610055010 4784019350 5071060511 8381918200 9220110020 9568038700 10142121022 11525137525 18440220040 19136077400 20284242044 23050275050 25355302555 40568484088 46100550100 50710605110 92201100200 101421210220 126776512775 202842420440 253553025550 507106051100 1014212102200