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31453100 = 225274131
BaseRepresentation
bin111011111111…
…0111110101100
32012011222112122
41313332332230
531022444400
63042052112
7531230000
oct167767654
965158478
1031453100
11168331a8
12a64a038
136693503
14426a700
152b64685
hex1dfefac

31453100 has 90 divisors (see below), whose sum is σ = 80231844. Its totient is φ = 10701600.

The previous prime is 31453039. The next prime is 31453133. The reversal of 31453100 is 135413.

It is a super-2 number, since 2×314531002 = 1978594999220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 240035 + ... + 240165.

Almost surely, 231453100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31453100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40115922).

31453100 is an abundant number, since it is smaller than the sum of its proper divisors (48778744).

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

31453100 is a wasteful number, since it uses less digits than its factorization.

31453100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 31453100 is about 5608.3063397072. The cubic root of 31453100 is about 315.6611627356.

Adding to 31453100 its reverse (135413), we get a palindrome (31588513).

The spelling of 31453100 in words is "thirty-one million, four hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 131 140 175 196 245 262 343 350 490 524 655 686 700 917 980 1225 1310 1372 1715 1834 2401 2450 2620 3275 3430 3668 4585 4802 4900 6419 6550 6860 8575 9170 9604 12005 12838 13100 17150 18340 22925 24010 25676 32095 34300 44933 45850 48020 60025 64190 89866 91700 120050 128380 160475 179732 224665 240100 314531 320950 449330 629062 641900 898660 1123325 1258124 1572655 2246650 3145310 4493300 6290620 7863275 15726550 31453100