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331411043403100 = 2252192914653410477
BaseRepresentation
bin100101101011010101010010…
…1100001000100010101011100
31121110102120211102202010220201
41023112222211201010111130
5321414314304102344400
63132504044224353244
7126543441414202663
oct11326524541042534
91543376742663821
10331411043403100
11966636a8150a91
123120581ba75824
13112bcc0936107b
145bba546d59dda
15284ab6605c06a
hex12d6aa584455c

331411043403100 has 144 divisors (see below), whose sum is σ = 783171828482400. Its totient is φ = 121248174136320.

The previous prime is 331411043403091. The next prime is 331411043403173. The reversal of 331411043403100 is 1304340114133.

It is a super-2 number, since 2×3314110434031002 (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 47 ways as a sum of consecutive naturals, for example, 807175062 + ... + 807585538.

It is an arithmetic number, because the mean of its divisors is an integer number (5438693253350).

Almost surely, 2331411043403100 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 331411043403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391585914241200).

331411043403100 is an abundant number, since it is smaller than the sum of its proper divisors (451760785079300).

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

331411043403100 is a wasteful number, since it uses less digits than its factorization.

331411043403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425192 (or 425185 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 331411043403100 its reverse (1304340114133), we get a palindrome (332715383517233).

The spelling of 331411043403100 in words is "three hundred thirty-one trillion, four hundred eleven billion, forty-three million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 14653 27550 29306 55100 58612 73265 146530 278407 293060 366325 410477 424937 556814 732650 820954 849874 1113628 1392035 1465300 1641908 1699748 2052385 2124685 2784070 4104770 4249370 5568140 6960175 7799063 8073803 8209540 8498740 10261925 10623425 11903833 13920350 15598126 16147606 20523850 21246850 23807666 27840700 31196252 32295212 38995315 40369015 41047700 42493700 47615332 59519165 77990630 80738030 119038330 155981260 161476060 194976575 201845075 226172827 238076660 297595825 389953150 403690150 452345654 595191650 779906300 807380300 904691308 1130864135 1190383300 2261728270 4523456540 5654320675 6014719481 11308641350 12029438962 22617282700 24058877924 30073597405 60147194810 114279670139 120294389620 150367987025 174426864949 228559340278 300735974050 348853729898 457118680556 571398350695 601471948100 697707459796 872134324745 1142796701390 1744268649490 2285593402780 2856991753475 3314110434031 3488537298980 4360671623725 5713983506950 6628220868062 8721343247450 11427967013900 13256441736124 16570552170155 17442686494900 33141104340310 66282208680620 82852760850775 165705521701550 331411043403100