Search a number
-
+
10112121112020 = 2235439613833747
BaseRepresentation
bin1001001100100110100101…
…1000110000010111010100
31022210201011002212212212220
42103021221120300113110
52311134111001041040
633301235545342340
72062401534151644
oct223115130602724
938721132785786
1010112121112020
113249587821a74
121173968a979b0
13584751c258a5
1426d601cd6524
1512808d3732d0
hex932696305d4

10112121112020 has 48 divisors (see below), whose sum is σ = 28314590568768. Its totient is φ = 2696503586560.

The previous prime is 10112121112007. The next prime is 10112121112061. The reversal of 10112121112020 is 2021112121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720787 + ... + 4554533.

It is an arithmetic number, because the mean of its divisors is an integer number (589887303516).

Almost surely, 210112121112020 is an apocalyptic number.

10112121112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112121112020 is an abundant number, since it is smaller than the sum of its proper divisors (18202469456748).

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

10112121112020 is a wasteful number, since it uses less digits than its factorization.

10112121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877720 (or 3877718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112121112020 its reverse (2021112121101), we get a palindrome (12133233233121).

It can be divided in two parts, 101 and 12121112020, that added together give a palindrome (12121112121).

The spelling of 10112121112020 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 43961 87922 131883 175844 219805 263766 439610 527532 659415 879220 1318830 2637660 3833747 7667494 11501241 15334988 19168735 23002482 38337470 46004964 57506205 76674940 115012410 230024820 168535351867 337070703734 505606055601 674141407468 842676759335 1011212111202 1685353518670 2022424222404 2528030278005 3370707037340 5056060556010 10112121112020