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312211302030200 = 2352101133811155071
BaseRepresentation
bin100011011111101000101101…
…1110000001001101101111000
31111221110002221110001222221002
41012333101123300021231320
5311410232221304431300
63024003520410104132
7122522344054226006
oct10677213360115570
91457402843058832
10312211302030200
1190531084734051
122b02478541b048
131052952679a0b1
145715171547a76
1526164ec0535d5
hex11bf45bc09b78

312211302030200 has 96 divisors (see below), whose sum is σ = 733133739294720. Its totient is φ = 123638692800000.

The previous prime is 312211302030191. The next prime is 312211302030259. The reversal of 312211302030200 is 2030203112213.

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, 269718665 + ... + 270873735.

It is an arithmetic number, because the mean of its divisors is an integer number (7636809784320).

Almost surely, 2312211302030200 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 312211302030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366566869647360).

312211302030200 is an abundant number, since it is smaller than the sum of its proper divisors (420922437264520).

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

312211302030200 is a wasteful number, since it uses less digits than its factorization.

312211302030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168569 (or 1168560 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312211302030200 its reverse (2030203112213), we get a palindrome (314241505142413).

The spelling of 312211302030200 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred two million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 13381 20200 26762 53524 66905 107048 133810 267620 334525 535240 669050 1155071 1338100 1351481 2310142 2676200 2702962 4620284 5405924 5775355 6757405 9240568 10811848 11550710 13514810 23101420 27029620 28876775 33787025 46202840 54059240 57753550 67574050 115507100 116662171 135148100 231014200 233324342 270296200 466648684 583310855 933297368 1166621710 2333243420 2916554275 4666486840 5833108550 11666217100 15456005051 23332434200 30912010102 61824020204 77280025255 123648040408 154560050510 309120101020 386400126275 618240202040 772800252550 1545600505100 1561056510151 3091201010200 3122113020302 6244226040604 7805282550755 12488452081208 15610565101510 31221130203020 39026412753775 62442260406040 78052825507550 156105651015100 312211302030200