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31002342210200 = 2352612866388657
BaseRepresentation
bin1110000110010010010111…
…00110000011101010011000
311001202210110112101210100002
413003021023212003222120
513030420244101211300
6145534140203232132
76346562640531344
oct703111346035230
9131683415353302
1031002342210200
119973023a48159
123588565818648
13143b67ba3b78a
147927428cc624
1538b696e9d5d5
hex1c324b983a98

31002342210200 has 96 divisors (see below), whose sum is σ = 73265474652960. Its totient is φ = 12197079705600.

The previous prime is 31002342210197. The next prime is 31002342210223. The reversal of 31002342210200 is 201224320013.

It is a super-2 number, since 2×310023422102002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 349644272 + ... + 349732928.

It is an arithmetic number, because the mean of its divisors is an integer number (763182027635).

Almost surely, 231002342210200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002342210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632737326480).

31002342210200 is an abundant number, since it is smaller than the sum of its proper divisors (42263132442760).

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

31002342210200 is a wasteful number, since it uses less digits than its factorization.

31002342210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117397 (or 117388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31002342210200 its reverse (201224320013), we get a palindrome (31203566530213).

The spelling of 31002342210200 in words is "thirty-one trillion, two billion, three hundred forty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 28663 57326 88657 114652 143315 177314 229304 286630 354628 443285 573260 709256 716575 886570 1146520 1433150 1748443 1773140 2216425 2866300 3496886 3546280 4432850 5408077 5732600 6993772 8742215 8865700 10816154 13987544 17484430 17731400 21632308 27040385 34968860 43264616 43711075 54080770 69937720 87422150 108161540 135201925 174844300 216323080 270403850 349688600 540807700 1081615400 2541175591 5082351182 10164702364 12705877955 20329404728 25411755910 50823511820 63529389775 101647023640 127058779550 155011711051 254117559100 310023422102 508235118200 620046844204 775058555255 1240093688408 1550117110510 3100234221020 3875292776275 6200468442040 7750585552550 15501171105100 31002342210200