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109700052 = 223711243251
BaseRepresentation
bin1101000100111…
…10001111010100
321122102100011220
412202132033110
5211040400202
614515130340
72501302140
oct642361724
9248370156
10109700052
1156a17300
12308a39b0
131995b997
14107d8220
15996dabc
hex689e3d4

109700052 has 144 divisors (see below), whose sum is σ = 330333696. Its totient is φ = 27720000.

The previous prime is 109700027. The next prime is 109700119. The reversal of 109700052 is 250007901.

109700052 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

109700052 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 109699995 and 109700031.

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, 436927 + ... + 437177.

It is an arithmetic number, because the mean of its divisors is an integer number (2293984).

Almost surely, 2109700052 is an apocalyptic number.

109700052 is a gapful number since it is divisible by the number (12) 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 109700052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165166848).

109700052 is an abundant number, since it is smaller than the sum of its proper divisors (220633644).

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

109700052 is a wasteful number, since it uses less digits than its factorization.

109700052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 109700052 is about 10473.7792606108. The cubic root of 109700052 is about 478.7060811355.

Adding to 109700052 its reverse (250007901), we get a palindrome (359707953).

The spelling of 109700052 in words is "one hundred nine million, seven hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 121 129 132 154 172 231 242 251 258 301 308 363 462 473 484 502 516 602 726 753 847 903 924 946 1004 1204 1419 1452 1506 1694 1757 1806 1892 2541 2761 2838 3012 3311 3388 3514 3612 5082 5203 5271 5522 5676 6622 7028 8283 9933 10164 10406 10542 10793 11044 13244 15609 16566 19327 19866 20812 21084 21586 30371 31218 32379 33132 36421 38654 39732 43172 57981 60742 62436 64758 72842 75551 77308 91113 109263 115962 118723 121484 129516 145684 151102 182226 212597 218526 226653 231924 237446 302204 356169 364452 425194 437052 453306 474892 637791 712338 831061 850388 906612 1275582 1305953 1424676 1662122 2493183 2551164 2611906 3324244 3917859 4986366 5223812 7835718 9141671 9972732 15671436 18283342 27425013 36566684 54850026 109700052