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1010500040 = 2351121032027
BaseRepresentation
bin111100001110110…
…000000111001000
32121102102201110102
4330032300013020
54032142000130
6244134304532
734020052154
oct7416600710
92542381412
101010500040
11479445700
122424b8148
13131475524
14982c2064
155daa7645
hex3c3b01c8

1010500040 has 96 divisors (see below), whose sum is σ = 2524616640. Its totient is φ = 363707520.

The previous prime is 1010500031. The next prime is 1010500103. The reversal of 1010500040 is 400050101.

It is a super-2 number, since 2×10105000402 = 2042220661680003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 1010499994 and 1010500030.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 497507 + ... + 499533.

It is an arithmetic number, because the mean of its divisors is an integer number (26298090).

Almost surely, 21010500040 is an apocalyptic number.

1010500040 is a gapful number since it is divisible by the number (10) 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 1010500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262308320).

1010500040 is an abundant number, since it is smaller than the sum of its proper divisors (1514116600).

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

1010500040 is a wasteful number, since it uses less digits than its factorization.

1010500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1010500040 is about 31788.3632796657. The cubic root of 1010500040 is about 1003.4878342028.

Adding to 1010500040 its reverse (400050101), we get a palindrome (1410550141).

The spelling of 1010500040 in words is "one billion, ten million, five hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 121 206 220 242 412 440 484 515 605 824 968 1030 1133 1210 2027 2060 2266 2420 4054 4120 4532 4840 5665 8108 9064 10135 11330 12463 16216 20270 22297 22660 24926 40540 44594 45320 49852 62315 81080 89188 99704 111485 124630 178376 208781 222970 245267 249260 417562 445940 490534 498520 835124 891880 981068 1043905 1226335 1670248 1962136 2087810 2296591 2452670 4175620 4593182 4905340 8351240 9186364 9810680 11482955 18372728 22965910 25262501 45931820 50525002 91863640 101050004 126312505 202100008 252625010 505250020 1010500040