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312001302200 = 235271403315881
BaseRepresentation
bin1001000101001001011…
…10100000111010111000
31002211022220111100101012
410202210232200322320
520102434313132300
6355155330413052
731353453211520
oct4424456407270
91084286440335
10312001302200
11110356668275
1250574731188
132356332b063
141115adbc680
1581b10da435
hex48a4ba0eb8

312001302200 has 96 divisors (see below), whose sum is σ = 829143315360. Its totient is φ = 106957516800.

The previous prime is 312001302157. The next prime is 312001302203. The reversal of 312001302200 is 2203100213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001302203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19638260 + ... + 19654140.

It is an arithmetic number, because the mean of its divisors is an integer number (8636909535).

Almost surely, 2312001302200 is an apocalyptic number.

It is an amenable number.

312001302200 is an abundant number, since it is smaller than the sum of its proper divisors (517142013160).

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

312001302200 is a wasteful number, since it uses less digits than its factorization.

312001302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29937 (or 29928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 312001302200 its reverse (2203100213), we get a palindrome (314204402413).

The spelling of 312001302200 in words is "three hundred twelve billion, one million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 14033 15881 28066 31762 56132 63524 70165 79405 98231 111167 112264 127048 140330 158810 196462 222334 280660 317620 350825 392924 397025 444668 491155 555835 561320 635240 701650 785848 794050 889336 982310 1111670 1403300 1588100 1964620 2223340 2455775 2779175 2806600 3176200 3929240 4446680 4911550 5558350 9823100 11116700 19646200 22233400 222858073 445716146 891432292 1114290365 1560006511 1782864584 2228580730 3120013022 4457161460 5571451825 6240026044 7800032555 8914322920 11142903650 12480052088 15600065110 22285807300 31200130220 39000162775 44571614600 62400260440 78000325550 156000651100 312001302200