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231311333102100 = 2235223134872485607
BaseRepresentation
bin110100100110000001011101…
…110101111001001000010100
31010100000010222111220111200220
4310212001131311321020110
5220304301102233231400
62135542543124034340
766502456316326416
oct6446013565711024
91110003874814626
10231311333102100
1167780649297979
1221b398295329b0
139c0b74673a924
1441197577789b6
151bb1e12bc97a0
hexd2605dd79214

231311333102100 has 144 divisors (see below), whose sum is σ = 698411146825728. Its totient is φ = 58996753228160.

The previous prime is 231311333102071. The next prime is 231311333102147. The reversal of 231311333102100 is 1201333113132.

It is a congruent number.

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, 91817497 + ... + 94303103.

It is an arithmetic number, because the mean of its divisors is an integer number (4850077408512).

Almost surely, 2231311333102100 is an apocalyptic number.

231311333102100 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 231311333102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349205573412864).

231311333102100 is an abundant number, since it is smaller than the sum of its proper divisors (467099813723628).

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

231311333102100 is a wasteful number, since it uses less digits than its factorization.

231311333102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499134 (or 2499127 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 231311333102100 its reverse (1201333113132), we get a palindrome (232512666215232).

The spelling of 231311333102100 in words is "two hundred thirty-one trillion, three hundred eleven billion, three hundred thirty-three million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 13487 26974 40461 53948 67435 80922 134870 161844 202305 269740 310201 337175 404610 620402 674350 809220 930603 1011525 1240804 1348700 1551005 1861206 2023050 2485607 3102010 3722412 4046100 4653015 4971214 6204020 7456821 7755025 9306030 9942428 12428035 14913642 15510050 18612060 23265075 24856070 29827284 31020100 37284105 46530150 49712140 57168961 62140175 74568210 93060300 114337922 124280350 149136420 171506883 186420525 228675844 248560700 285844805 343013766 372841050 571689610 686027532 745682100 857534415 1143379220 1429224025 1715068830 2858448050 3430137660 4287672075 5716896100 8575344150 17150688300 33523381609 67046763218 100570144827 134093526436 167616908045 201140289654 335233816090 402280579308 502850724135 670467632180 771037777007 838084540225 1005701448270 1542075554014 1676169080450 2011402896540 2313113331021 2514253620675 3084151108028 3352338160900 3855188885035 4626226662042 5028507241350 7710377770070 9252453324084 10057014482700 11565566655105 15420755540140 19275944425175 23131133310210 38551888850350 46262266620420 57827833275525 77103777700700 115655666551050 231311333102100