Search a number
-
+
1010701000 = 23531759453
BaseRepresentation
bin111100001111100…
…001001011001000
32121102210221010101
4330033201023020
54032214413000
6244142455144
734021550101
oct7417411310
92542727111
101010701000
11479572691
122425944b4
13131515b3a
14983353a8
155dae6e6a
hex3c3e12c8

1010701000 has 64 divisors (see below), whose sum is σ = 2504202480. Its totient is φ = 380492800.

The previous prime is 1010700973. The next prime is 1010701007. The reversal of 1010701000 is 1070101.

It can be written as a sum of positive squares in 8 ways, for example, as 233295076 + 777405924 = 15274^2 + 27882^2 .

It is a super-2 number, since 2×10107010002 = 2043033022802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010701007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12727 + ... + 46726.

Almost surely, 21010701000 is an apocalyptic number.

1010701000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010701000 is an abundant number, since it is smaller than the sum of its proper divisors (1493501480).

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

1010701000 is a wasteful number, since it uses less digits than its factorization.

1010701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59491 (or 59477 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 1010701000 is about 31791.5240276398. The cubic root of 1010701000 is about 1003.5543516167.

Adding to 1010701000 its reverse (1070101), we get a palindrome (1011771101).

The spelling of 1010701000 in words is "one billion, ten million, seven hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 59453 118906 237812 297265 475624 594530 1010701 1189060 1486325 2021402 2378120 2972650 4042804 5053505 5945300 7431625 8085608 10107010 11890600 14863250 20214020 25267525 29726500 40428040 50535050 59453000 101070100 126337625 202140200 252675250 505350500 1010701000