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31044211001334 = 235173757469257
BaseRepresentation
bin1110000111100000010110…
…01010110100011111110110
311001220210112102220202100000
413003300023022310133312
513032112021004020314
6150005302540532130
76352604326426656
oct703601312643766
9131823472822300
1031044211001334
119989859875683
1235946ab551046
1314425c20185bb
1479479535c366
1538c7e7a7b209
hex1c3c0b2b47f6

31044211001334 has 48 divisors (see below), whose sum is σ = 73856815735248. Its totient is φ = 9739360311552.

The previous prime is 31044211001333. The next prime is 31044211001339. The reversal of 31044211001334 is 43310011244013.

31044211001334 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 421 + 100 + 133 + 4 = 666.

It is a super-3 number, since 3×310442110013343 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31044211001298 and 31044211001307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31044211001333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1878726367 + ... + 1878742890.

It is an arithmetic number, because the mean of its divisors is an integer number (1538683661151).

Almost surely, 231044211001334 is an apocalyptic number.

31044211001334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31044211001334 is an abundant number, since it is smaller than the sum of its proper divisors (42812604733914).

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

31044211001334 is a wasteful number, since it uses less digits than its factorization.

31044211001334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757469291 (or 3757469279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31044211001334 its reverse (43310011244013), we get a palindrome (74354222245347).

The spelling of 31044211001334 in words is "thirty-one trillion, forty-four billion, two hundred eleven million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 3757469257 7514938514 11272407771 22544815542 33817223313 63876977369 67634446626 101451669939 127753954738 191630932107 202903339878 304355009817 383261864214 574892796321 608710019634 913065029451 1149785592642 1724678388963 1826130058902 3449356777926 5174035166889 10348070333778 15522105500667 31044211001334