Search a number
-
+
10112002123020 = 22357295931400023
BaseRepresentation
bin1001001100100110001001…
…0010110110010100001100
31022210200211210222121122220
42103021202102312110030
52311133340020414040
633301220055135340
72062365560601150
oct223114222662414
938720753877586
1010112002123020
113249526640856
121173935074550
13584733393bb5
1426d5d01a1060
15128082bbc2d0
hex932624b650c

10112002123020 has 192 divisors, whose sum is σ = 33530686801920. Its totient is φ = 2227849408512.

The previous prime is 10112002123009. The next prime is 10112002123033. The reversal of 10112002123020 is 2032120021101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6522729 + ... + 7922751.

It is an arithmetic number, because the mean of its divisors is an integer number (174638993760).

Almost surely, 210112002123020 is an apocalyptic number.

10112002123020 is a gapful number since it is divisible by the number (10) 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 10112002123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765343400960).

10112002123020 is an abundant number, since it is smaller than the sum of its proper divisors (23418684678900).

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

10112002123020 is a wasteful number, since it uses less digits than its factorization.

10112002123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400664 (or 1400662 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10112002123020 its reverse (2032120021101), we get a palindrome (12144122144121).

The spelling of 10112002123020 in words is "ten trillion, one hundred twelve billion, two million, one hundred twenty-three thousand, twenty".