Search a number
-
+
10202001040 = 2457111656169
BaseRepresentation
bin10011000000001011…
…00010111010010000
3222022222212100110101
421200011202322100
5131343203013130
64404200142144
7510546402160
oct114005427220
928288770411
1010202001040
114365844420
121b88767954
13c677c550a
146cad065a0
153ea9b01ca
hex260162e90

10202001040 has 80 divisors (see below), whose sum is σ = 29572571520. Its totient is φ = 3179842560.

The previous prime is 10202000993. The next prime is 10202001041. The reversal of 10202001040 is 4010020201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102020010402 (a number of 21 digits) 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 (10202001041) 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, 821925 + ... + 834244.

It is an arithmetic number, because the mean of its divisors is an integer number (369657144).

Almost surely, 210202001040 is an apocalyptic number.

10202001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202001040 is an abundant number, since it is smaller than the sum of its proper divisors (19370570480).

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

10202001040 is a wasteful number, since it uses less digits than its factorization.

10202001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656200 (or 1656194 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202001040 its reverse (4010020201), we get a palindrome (14212021241).

The spelling of 10202001040 in words is "ten billion, two hundred two million, one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 1656169 3312338 6624676 8280845 11593183 13249352 16561690 18217859 23186366 26498704 33123380 36435718 46372732 57965915 66246760 72871436 91089295 92745464 115931830 127525013 132493520 145742872 182178590 185490928 231863660 255050026 291485744 364357180 463727320 510100052 637625065 728714360 927454640 1020200104 1275250130 1457428720 2040400208 2550500260 5101000520 10202001040