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331133320401400 = 235211672246494711
BaseRepresentation
bin100101101001010011111101…
…1111011111001000111111000
31121102110000222102220212212201
41023102213323323321013320
5321400242020010321100
63132132314120515544
7126514410240505246
oct11322477373710770
91542400872825781
10331133320401400
1196566941814290
123117ba3301bbb4
131129c97988a77a
145baad1c6a1796
15284380e49536a
hex12d29fbef91f8

331133320401400 has 96 divisors (see below), whose sum is σ = 852409953521280. Its totient is φ = 118614920688000.

The previous prime is 331133320401347. The next prime is 331133320401421. The reversal of 331133320401400 is 4104023331133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123099956 + ... + 1123394755.

It is an arithmetic number, because the mean of its divisors is an integer number (8879270349180).

Almost surely, 2331133320401400 is an apocalyptic number.

It is an amenable number.

331133320401400 is an abundant number, since it is smaller than the sum of its proper divisors (521276633119880).

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

331133320401400 is a wasteful number, since it uses less digits than its factorization.

331133320401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246494805 (or 2246494796 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 331133320401400 its reverse (4104023331133), we get a palindrome (335237343732533).

The spelling of 331133320401400 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three hundred twenty million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 220 268 275 335 440 536 550 670 737 1100 1340 1474 1675 2200 2680 2948 3350 3685 5896 6700 7370 13400 14740 18425 29480 36850 73700 147400 2246494711 4492989422 8985978844 11232473555 17971957688 22464947110 24711441821 44929894220 49422883642 56162367775 89859788440 98845767284 112324735550 123557209105 150515145637 197691534568 224649471100 247114418210 301030291274 449298942200 494228836420 602060582548 617786045525 752575728185 988457672840 1204121165096 1235572091050 1505151456370 1655666602007 2471144182100 3010302912740 3311333204014 3762878640925 4942288364200 6020605825480 6622666408028 7525757281850 8278333010035 13245332816056 15051514563700 16556666020070 30103029127400 33113332040140 41391665050175 66226664080280 82783330100350 165566660200700 331133320401400