Search a number
-
+
10202022211120 = 245167763624417
BaseRepresentation
bin1001010001110101011111…
…1010001110111000110000
31100010022012110122220110221
42110131113322032320300
52314122220141223440
633410424434102424
72102033422661455
oct224352772167060
940108173586427
1010202022211120
113283720632383
12118927871aa14
1359007b3ca70c
14273acda0b82c
1512a5a0bb5d4a
hex94757e8ee30

10202022211120 has 40 divisors (see below), whose sum is σ = 23861735813664. Its totient is φ = 4056372897792.

The previous prime is 10202022211109. The next prime is 10202022211127. The reversal of 10202022211120 is 2111222020201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10202022211094 and 10202022211103.

It is not an unprimeable number, because it can be changed into a prime (10202022211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381798849 + ... + 381825568.

Almost surely, 210202022211120 is an apocalyptic number.

10202022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202022211120 is an abundant number, since it is smaller than the sum of its proper divisors (13659713602544).

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

10202022211120 is a wasteful number, since it uses less digits than its factorization.

10202022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763624597 (or 763624591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10202022211120 its reverse (2111222020201), we get a palindrome (12313244231321).

The spelling of 10202022211120 in words is "ten trillion, two hundred two billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 763624417 1527248834 3054497668 3818122085 6108995336 7636244170 12217990672 15272488340 30544976680 61089953360 127525277639 255050555278 510101110556 637626388195 1020202221112 1275252776390 2040404442224 2550505552780 5101011105560 10202022211120