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20155001020 = 22571177316931
BaseRepresentation
bin10010110001010101…
…001110100010111100
31221000122012010200021
4102301111032202330
5312234140013040
613131543341524
71312313452630
oct226125164274
957018163607
1020155001020
118602a77640
123aa5a518a4
131b92837c0b
14d92b12dc0
157ce68724a
hex4b154e8bc

20155001020 has 96 divisors (see below), whose sum is σ = 52840843776. Its totient is φ = 6273580800.

The previous prime is 20155001003. The next prime is 20155001047. The reversal of 20155001020 is 2010055102.

It is a super-2 number, since 2×201550010202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20155000985 and 20155001003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181955 + ... + 1198885.

It is an arithmetic number, because the mean of its divisors is an integer number (550425456).

Almost surely, 220155001020 is an apocalyptic number.

20155001020 is a gapful number since it is divisible by the number (20) 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 20155001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26420421888).

20155001020 is an abundant number, since it is smaller than the sum of its proper divisors (32685842756).

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

20155001020 is a wasteful number, since it uses less digits than its factorization.

20155001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17731 (or 17729 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

Adding to 20155001020 its reverse (2010055102), we get a palindrome (22165056122).

The spelling of 20155001020 in words is "twenty billion, one hundred fifty-five million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 773 1540 1546 3092 3865 5411 7730 8503 10822 15460 16931 17006 21644 27055 33862 34012 42515 54110 59521 67724 84655 85030 108220 118517 119042 169310 170060 186241 237034 238084 297605 338620 372482 474068 592585 595210 744964 931205 1185170 1190420 1303687 1862410 2370340 2607374 3724820 5214748 6518435 13036870 13087663 26073740 26175326 52350652 65438315 91613641 130876630 143964293 183227282 261753260 287928586 366454564 458068205 575857172 719821465 916136410 1007750051 1439642930 1832272820 2015500102 2879285860 4031000204 5038750255 10077500510 20155001020