Search a number
-
+
10000202102020 = 22513231672274599
BaseRepresentation
bin1001000110000101101001…
…1111100111010100000100
31022102000021021112002200101
42101201122133213110010
52302320403214231040
633134010204453444
72051330221235104
oct221413237472404
938360237462611
1010000202102020
113206075422289
12115613354a284
13577026c9a510
14268025cdb204
151251dca6509a
hex9185a7e7504

10000202102020 has 48 divisors (see below), whose sum is σ = 23599139155200. Its totient is φ = 3531843950976.

The previous prime is 10000202101993. The next prime is 10000202102021. The reversal of 10000202102020 is 2020120200001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10000202101988 and 10000202102006.

It is not an unprimeable number, because it can be changed into a prime (10000202102021) 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, 836131320 + ... + 836143279.

It is an arithmetic number, because the mean of its divisors is an integer number (491648732400).

Almost surely, 210000202102020 is an apocalyptic number.

10000202102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000202102020 is an abundant number, since it is smaller than the sum of its proper divisors (13598937053180).

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

10000202102020 is a wasteful number, since it uses less digits than its factorization.

10000202102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672274644 (or 1672274642 counting only the distinct ones).

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

Adding to 10000202102020 its reverse (2020120200001), we get a palindrome (12020322302021).

The spelling of 10000202102020 in words is "ten trillion, two hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 1672274599 3344549198 6689098396 8361372995 16722745990 21739569787 33445491980 38462315777 43479139574 76924631554 86958279148 108697848935 153849263108 192311578885 217395697870 384623157770 434791395740 500010105101 769246315540 1000020210202 2000040420404 2500050525505 5000101051010 10000202102020