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31601130 = 235111743131
BaseRepresentation
bin111100010001…
…1000111101010
32012110111121020
41320203013222
531042214010
63045153310
7532414401
oct170430752
965414536
1031601130
1116924440
12a6bb836
1367159c2
1442a8638
152b93470
hex1e231ea

31601130 has 128 divisors (see below), whose sum is σ = 90326016. Its totient is φ = 6988800.

The previous prime is 31601099. The next prime is 31601137. The reversal of 31601130 is 3110613.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31601137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241165 + ... + 241295.

It is an arithmetic number, because the mean of its divisors is an integer number (705672).

Almost surely, 231601130 is an apocalyptic number.

31601130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31601130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163008).

31601130 is an abundant number, since it is smaller than the sum of its proper divisors (58724886).

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

31601130 is a wasteful number, since it uses less digits than its factorization.

31601130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 31601130 is about 5621.4882371130. The cubic root of 31601130 is about 316.1555942076.

Adding to 31601130 its reverse (3110613), we get a palindrome (34711743).

The spelling of 31601130 in words is "thirty-one million, six hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 43 51 55 66 85 86 102 110 129 131 165 170 187 215 255 258 262 330 374 393 430 473 510 561 645 655 731 786 935 946 1122 1290 1310 1419 1441 1462 1870 1965 2193 2227 2365 2805 2838 2882 3655 3930 4323 4386 4454 4730 5610 5633 6681 7095 7205 7310 8041 8646 10965 11135 11266 13362 14190 14410 16082 16899 21615 21930 22270 24123 24497 28165 33405 33798 40205 43230 48246 48994 56330 61963 66810 73491 80410 84495 95761 120615 122485 123926 146982 168990 185889 191522 241230 244970 287283 309815 367455 371778 478805 574566 619630 734910 929445 957610 1053371 1436415 1858890 2106742 2872830 3160113 5266855 6320226 10533710 15800565 31601130