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31101312 = 2731137199
BaseRepresentation
bin111011010100…
…1000110000000
32011112002222110
41312221012000
530430220222
63030335320
7525233244
oct166510600
964462873
1031101312
1116612970
12a4ba540
13659c358
1441b8424
152ae530c
hex1da9180

31101312 has 128 divisors (see below), whose sum is σ = 93024000. Its totient is φ = 9123840.

The previous prime is 31101299. The next prime is 31101373. The reversal of 31101312 is 21310113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156189 + ... + 156387.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 231101312 is an apocalyptic number.

31101312 is a gapful number since it is divisible by the number (32) 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 31101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

31101312 is an abundant number, since it is smaller than the sum of its proper divisors (61922688).

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

31101312 is a wasteful number, since it uses less digits than its factorization.

31101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 31101312 is about 5576.8550277015. The cubic root of 31101312 is about 314.4799076911.

Adding to 31101312 its reverse (21310113), we get a palindrome (52411425).

It can be divided in two parts, 31101 and 312, that added together give a palindrome (31413).

The spelling of 31101312 in words is "thirty-one million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 199 222 264 296 352 384 398 407 444 528 592 597 704 796 814 888 1056 1184 1194 1221 1408 1592 1628 1776 2112 2189 2368 2388 2442 3184 3256 3552 4224 4378 4736 4776 4884 6368 6512 6567 7104 7363 8756 9552 9768 12736 13024 13134 14208 14726 17512 19104 19536 22089 25472 26048 26268 29452 35024 38208 39072 44178 52096 52536 58904 70048 76416 78144 80993 88356 105072 117808 140096 156288 161986 176712 210144 235616 242979 280192 323972 353424 420288 471232 485958 647944 706848 840576 942464 971916 1295888 1413696 1943832 2591776 2827392 3887664 5183552 7775328 10367104 15550656 31101312