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331131113200 = 245212764110169
BaseRepresentation
bin1001101000110001111…
…00111100111011110000
31011122201002121102201201
410310120330330323300
520411124031110300
6412041452540544
732631511010326
oct4643074747360
91148632542651
10331131113200
11118482976428
1254213181754
13252c1649254
14120538a7d16
15893076766a
hex4d18f3cef0

331131113200 has 120 divisors (see below), whose sum is σ = 803136453120. Its totient is φ = 131191603200.

The previous prime is 331131113171. The next prime is 331131113227. The reversal of 331131113200 is 2311131133.

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, 32557716 + ... + 32567884.

It is an arithmetic number, because the mean of its divisors is an integer number (6692803776).

Almost surely, 2331131113200 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 331131113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401568226560).

331131113200 is an abundant number, since it is smaller than the sum of its proper divisors (472005339920).

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

331131113200 is a wasteful number, since it uses less digits than its factorization.

331131113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 331131113200 its reverse (2311131133), we get a palindrome (333442244333).

The spelling of 331131113200 in words is "three hundred thirty-one billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 641 1016 1270 1282 2032 2540 2564 3175 3205 5080 5128 6350 6410 10160 10169 10256 12700 12820 16025 20338 25400 25640 32050 40676 50800 50845 51280 64100 81352 81407 101690 128200 162704 162814 203380 254225 256400 325628 406760 407035 508450 651256 813520 814070 1016900 1291463 1302512 1628140 2033800 2035175 2582926 3256280 4067600 4070350 5165852 6457315 6512560 6518329 8140700 10331704 12914630 13036658 16281400 20663408 25829260 26073316 32286575 32562800 32591645 51658520 52146632 64573150 65183290 103317040 104293264 129146300 130366580 162958225 258292600 260733160 325916450 516585200 521466320 651832900 827827783 1303665800 1655655566 2607331600 3311311132 4139138915 6622622264 8278277830 13245244528 16556555660 20695694575 33113111320 41391389150 66226222640 82782778300 165565556600 331131113200