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331201130320 = 245475910913697
BaseRepresentation
bin1001101000111010010…
…00000010111101010000
31011122212222100200011101
410310131020002331100
520411244442132240
6412052433354144
732633321105014
oct4643510027520
91148788320141
10331201130320
11118509449315
1254232708954
1325302cc27b8
141205ccd2544
15893699839a
hex4d1d202f50

331201130320 has 160 divisors (see below), whose sum is σ = 807151910400. Its totient is φ = 126285447168.

The previous prime is 331201130291. The next prime is 331201130321. The reversal of 331201130320 is 23031102133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331201130321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24173712 + ... + 24187408.

It is an arithmetic number, because the mean of its divisors is an integer number (5044699440).

Almost surely, 2331201130320 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 331201130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403575955200).

331201130320 is an abundant number, since it is smaller than the sum of its proper divisors (475950780080).

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

331201130320 is a wasteful number, since it uses less digits than its factorization.

331201130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13925 (or 13919 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 331201130320 its reverse (23031102133), we get a palindrome (354232232453).

The spelling of 331201130320 in words is "three hundred thirty-one billion, two hundred one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 59 80 94 109 118 188 218 235 236 295 376 436 470 472 545 590 752 872 940 944 1090 1180 1744 1880 2180 2360 2773 3760 4360 4720 5123 5546 6431 8720 10246 11092 12862 13697 13865 20492 22184 25615 25724 27394 27730 32155 40984 44368 51230 51448 54788 55460 64310 68485 81968 102460 102896 109576 110920 128620 136970 204920 219152 221840 257240 273940 302257 409840 514480 547880 604514 643759 808123 1095760 1209028 1287518 1492973 1511285 1616246 2418056 2575036 2985946 3022570 3218795 3232492 4040615 4836112 5150072 5971892 6045140 6437590 6464984 7464865 8081230 10300144 11943784 12090280 12875180 12929968 14929730 16162460 23887568 24180560 25750360 29859460 32324920 37981781 51500720 59718920 64649840 70169731 75963562 88085407 119437840 140339462 151927124 176170814 189908905 280678924 303854248 350848655 352341628 379817810 440427035 561357848 607708496 701697310 704683256 759635620 880854070 1122715696 1403394620 1409366512 1519271240 1761708140 2806789240 3038542480 3523416280 4140014129 5613578480 7046832560 8280028258 16560056516 20700070645 33120113032 41400141290 66240226064 82800282580 165600565160 331201130320