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231333332010320 = 245312232011208003
BaseRepresentation
bin110100100110010101111101…
…000101000100010101010000
31010100002020202122201211112102
4310212111331011010111100
5220310131130443312240
62140001022101015532
766504165423060161
oct6446257505042520
91110066678654472
10231333332010320
1167789a08088261
1221b41b489b45a8
139c10841299997
14411a843313768
151bb279e18e815
hexd2657d144550

231333332010320 has 160 divisors (see below), whose sum is σ = 557969684987904. Its totient is φ = 89102066342400.

The previous prime is 231333332010301. The next prime is 231333332010349. The reversal of 231333332010320 is 23010233333132.

It is a super-2 number, since 2×2313333320103202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112059439 + ... + 1112267441.

Almost surely, 2231333332010320 is an apocalyptic number.

231333332010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231333332010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278984842493952).

231333332010320 is an abundant number, since it is smaller than the sum of its proper divisors (326636352977584).

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

231333332010320 is a wasteful number, since it uses less digits than its factorization.

231333332010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210281 (or 210275 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 231333332010320 its reverse (23010233333132), we get a palindrome (254343565343452).

The spelling of 231333332010320 in words is "two hundred thirty-one trillion, three hundred thirty-three billion, three hundred thirty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 223 248 310 446 496 620 892 1115 1240 1784 2011 2230 2480 3568 4022 4460 6913 8044 8920 10055 13826 16088 17840 20110 27652 32176 34565 40220 55304 62341 69130 80440 110608 124682 138260 160880 208003 249364 276520 311705 416006 448453 498728 553040 623410 832012 896906 997456 1040015 1246820 1664024 1793812 2080030 2242265 2493640 3328048 3587624 4160060 4484530 4987280 6448093 7175248 8320120 8969060 12896186 13902043 16640240 17938120 25792372 27804086 32240465 35876240 46384669 51584744 55608172 64480930 69510215 92769338 103169488 111216344 128961860 139020430 185538676 222432688 231923345 257923720 278040860 371077352 418294033 463846690 515847440 556081720 742154704 836588066 927693380 1112163440 1437924739 1673176132 1855386760 2091470165 2875849478 3346352264 3710773520 4182940330 5751698956 6692704528 7189623695 8365880660 11503397912 12967115023 14379247390 16731761320 23006795824 25934230046 28758494780 33463522640 51868460092 57516989560 64835575115 93279569359 103736920184 115033979120 129671150230 186559138718 207473840368 259342300460 373118277436 466397846795 518684600920 746236554872 932795693590 1037369201840 1492473109744 1865591387180 2891666650129 3731182774360 5783333300258 7462365548720 11566666600516 14458333250645 23133333201032 28916666501290 46266666402064 57833333002580 115666666005160 231333332010320