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1042213001200 = 24527389956861
BaseRepresentation
bin11110010101010001011…
…11000101011111110000
310200122010121122001220221
433022220233011133300
5114033423012014300
62114441441342424
7135204003225250
oct17125057053760
93618117561827
101042213001200
11372000083548
12149ba3037a14
1377384982367
143862c8b7960
151c19c68731a
hexf2a8bc57f0

1042213001200 has 120 divisors (see below), whose sum is σ = 2868978471840. Its totient is φ = 356411212800.

The previous prime is 1042213001191. The next prime is 1042213001239. The reversal of 1042213001200 is 21003122401.

It is a super-2 number, since 2×10422130012002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 610770 + ... + 1567630.

It is an arithmetic number, because the mean of its divisors is an integer number (23908153932).

Almost surely, 21042213001200 is an apocalyptic number.

1042213001200 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 1042213001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434489235920).

1042213001200 is an abundant number, since it is smaller than the sum of its proper divisors (1826765470640).

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

1042213001200 is a wasteful number, since it uses less digits than its factorization.

1042213001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957275 (or 957264 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1042213001200 its reverse (21003122401), we get a palindrome (1063216123601).

The spelling of 1042213001200 in words is "one trillion, forty-two billion, two hundred thirteen million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 389 400 560 700 778 1400 1556 1945 2723 2800 3112 3890 5446 6224 7780 9725 10892 13615 15560 19450 21784 27230 31120 38900 43568 54460 68075 77800 108920 136150 155600 217840 272300 544600 956861 1089200 1913722 3827444 4784305 6698027 7654888 9568610 13396054 15309776 19137220 23921525 26792108 33490135 38274440 47843050 53584216 66980270 76548880 95686100 107168432 133960540 167450675 191372200 267921080 334901350 372218929 382744400 535842160 669802700 744437858 1339605400 1488875716 1861094645 2605532503 2679210800 2977751432 3722189290 5211065006 5955502864 7444378580 9305473225 10422130012 13027662515 14888757160 18610946450 20844260024 26055325030 29777514320 37221892900 41688520048 52110650060 65138312575 74443785800 104221300120 130276625150 148887571600 208442600240 260553250300 521106500600 1042213001200