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231002110001100 = 2235237109319040257
BaseRepresentation
bin110100100001100001011110…
…101101010111111111001100
31010021220120211020002101220110
4310201201132231113333030
5220234214310130013400
62135144523155520020
766441231426332544
oct6441413655277714
91107816736071813
10231002110001100
1167671498979359
1221aa990b2b9010
139bb8536b76a09
1441087c1748324
151ba8d6596ee50
hexd2185eb57fcc

231002110001100 has 144 divisors (see below), whose sum is σ = 687058113639968. Its totient is φ = 59880843509760.

The previous prime is 231002110001027. The next prime is 231002110001197. The reversal of 231002110001100 is 1100011200132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612172 + ... + 21652428.

Almost surely, 2231002110001100 is an apocalyptic number.

231002110001100 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 231002110001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343529056819984).

231002110001100 is an abundant number, since it is smaller than the sum of its proper divisors (456056003638868).

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

231002110001100 is a wasteful number, since it uses less digits than its factorization.

231002110001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19041404 (or 19041397 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 231002110001100 its reverse (1100011200132), we get a palindrome (232102121201232).

The spelling of 231002110001100 in words is "two hundred thirty-one trillion, two billion, one hundred ten million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1093 1110 1850 2186 2220 2775 3279 3700 4372 5465 5550 6558 10930 11100 13116 16395 21860 27325 32790 40441 54650 65580 80882 81975 109300 121323 161764 163950 202205 242646 327900 404410 485292 606615 808820 1011025 1213230 2022050 2426460 3033075 4044100 6066150 12132300 19040257 38080514 57120771 76161028 95201285 114241542 190402570 228483084 285603855 380805140 476006425 571207710 704489509 952012850 1142415420 1408979018 1428019275 1904025700 2113468527 2817958036 2856038550 3522447545 4226937054 5712077100 7044895090 8453874108 10567342635 14089790180 17612237725 20811000901 21134685270 35224475450 41622001802 42269370540 52836713175 62433002703 70448950900 83244003604 104055004505 105673426350 124866005406 208110009010 211346852700 249732010812 312165013515 416220018020 520275022525 624330027030 770007033337 1040550045050 1248660054060 1540014066674 1560825067575 2081100090100 2310021100011 3080028133348 3121650135150 3850035166685 4620042200022 6243300270300 7700070333370 9240084400044 11550105500055 15400140666740 19250175833425 23100211000110 38500351666850 46200422000220 57750527500275 77000703333700 115501055000550 231002110001100