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331402021434100 = 22524973666402617
BaseRepresentation
bin100101101011010001000101…
…1110000111111001011110100
31121110101201112200022122002201
41023112202023300333023310
5321414142314441342400
63132455553100314244
7126543002013552241
oct11326421360771364
91543351480278081
10331402021434100
119665a898515161
1231203b22542984
13112bc0cc18b386
145bb9d2ca665c8
15284a7d8e9106a
hex12d688bc3f2f4

331402021434100 has 36 divisors (see below), whose sum is σ = 719286996959244. Its totient is φ = 132534152270080.

The previous prime is 331402021434089. The next prime is 331402021434101. The reversal of 331402021434100 is 1434120204133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21695734305424 + 309706287128676 = 4657868^2 + 17598474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331402021434101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332704009 + ... + 333698608.

It is an arithmetic number, because the mean of its divisors is an integer number (19980194359979).

Almost surely, 2331402021434100 is an apocalyptic number.

It is an amenable number.

331402021434100 is an abundant number, since it is smaller than the sum of its proper divisors (387884975525144).

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

331402021434100 is a wasteful number, since it uses less digits than its factorization.

331402021434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666407604 (or 666407597 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331402021434100 its reverse (1434120204133), we get a palindrome (332836141638233).

The spelling of 331402021434100 in words is "three hundred thirty-one trillion, four hundred two billion, twenty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4973 9946 19892 24865 49730 99460 124325 248650 497300 666402617 1332805234 2665610468 3332013085 6664026170 13328052340 16660065425 33320130850 66640261700 3314020214341 6628040428682 13256080857364 16570101071705 33140202143410 66280404286820 82850505358525 165701010717050 331402021434100