Search a number
-
+
102811002 = 23717311463
BaseRepresentation
bin1100010000011…
…00010101111010
321011110100011220
412020030111322
5202304423002
614111332510
72355610350
oct610142572
9234410156
10102811002
1153041478
122a521136
13183b9118
14d9237d0
15905c7bc
hex620c57a

102811002 has 64 divisors (see below), whose sum is σ = 250159104. Its totient is φ = 27498240.

The previous prime is 102811001. The next prime is 102811103. The reversal of 102811002 is 200118201.

It is not an unprimeable number, because it can be changed into a prime (102811001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221823 + ... + 222285.

It is an arithmetic number, because the mean of its divisors is an integer number (3908736).

Almost surely, 2102811002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102811002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125079552).

102811002 is an abundant number, since it is smaller than the sum of its proper divisors (147348102).

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

102811002 is a wasteful number, since it uses less digits than its factorization.

102811002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 102811002 is about 10139.5760266394. The cubic root of 102811002 is about 468.4679281453.

Adding to 102811002 its reverse (200118201), we get a palindrome (302929203).

The spelling of 102811002 in words is "one hundred two million, eight hundred eleven thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 311 357 463 622 714 926 933 1389 1866 2177 2778 3241 4354 5287 6482 6531 7871 9723 10574 13062 15742 15861 19446 23613 31722 37009 47226 55097 74018 110194 111027 143993 165291 222054 287986 330582 431979 863958 1007951 2015902 2447881 3023853 4895762 6047706 7343643 14687286 17135167 34270334 51405501 102811002