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31404443100 = 22352711579391
BaseRepresentation
bin11101001111110110…
…011100010111011100
310000001122000000010020
4131033312130113130
51003304014134400
622232122112140
72161142235102
oct351766342734
9100048000106
1031404443100
1112355a97a08
12610534b650
132c6633b014
14173cb95c72
15c3c09a2a0
hex74fd9c5dc

31404443100 has 144 divisors (see below), whose sum is σ = 92740064256. Its totient is φ = 8203104000.

The previous prime is 31404443093. The next prime is 31404443159. The reversal of 31404443100 is 134440413.

It is a super-2 number, since 2×314044431002 (a number of 22 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, 3339405 + ... + 3348795.

It is an arithmetic number, because the mean of its divisors is an integer number (644028224).

Almost surely, 231404443100 is an apocalyptic number.

31404443100 is a gapful number since it is divisible by the number (30) 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 31404443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46370032128).

31404443100 is an abundant number, since it is smaller than the sum of its proper divisors (61335621156).

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

31404443100 is a wasteful number, since it uses less digits than its factorization.

31404443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9636 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31404443100 its reverse (134440413), we get a palindrome (31538883513).

The spelling of 31404443100 in words is "thirty-one billion, four hundred four million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 157 213 284 300 314 355 426 471 628 710 785 852 942 1065 1420 1570 1775 1884 2130 2355 3140 3550 3925 4260 4710 5325 7100 7850 9391 9420 10650 11147 11775 15700 18782 21300 22294 23550 28173 33441 37564 44588 46955 47100 55735 56346 66882 93910 111470 112692 133764 140865 167205 187820 222940 234775 278675 281730 334410 469550 557350 563460 666761 668820 704325 836025 939100 1114700 1333522 1408650 1474387 1672050 2000283 2667044 2817300 2948774 3333805 3344100 4000566 4423161 5897548 6667610 7371935 8001132 8846322 10001415 13335220 14743870 16669025 17692644 20002830 22115805 29487740 33338050 36859675 40005660 44231610 50007075 66676100 73719350 88463220 100014150 104681477 110579025 147438700 200028300 209362954 221158050 314044431 418725908 442316100 523407385 628088862 1046814770 1256177724 1570222155 2093629540 2617036925 3140444310 5234073850 6280888620 7851110775 10468147700 15702221550 31404443100