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1023011323220 = 225173008856833
BaseRepresentation
bin11101110001100000011…
…10011111110101010100
310121210120102021202121102
432320300032133311110
5113230111344320340
62101544231005232
7133624113525635
oct16706016376524
93553512252542
101023011323220
11364947249697
12146324509818
13756147c0923
143772a64188c
151b926a61215
hexee3039fd54

1023011323220 has 24 divisors (see below), whose sum is σ = 2274695766504. Its totient is φ = 385133674496.

The previous prime is 1023011323193. The next prime is 1023011323223. The reversal of 1023011323220 is 223231103201.

It can be written as a sum of positive squares in 4 ways, for example, as 13171234756 + 1009840088464 = 114766^2 + 1004908^2 .

It is a super-2 number, since 2×10230113232202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1023011323192 and 1023011323201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023011323223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504428077 + ... + 1504428756.

It is an arithmetic number, because the mean of its divisors is an integer number (94778990271).

Almost surely, 21023011323220 is an apocalyptic number.

1023011323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023011323220 is an abundant number, since it is smaller than the sum of its proper divisors (1251684443284).

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

1023011323220 is a wasteful number, since it uses less digits than its factorization.

1023011323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008856859 (or 3008856857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1023011323220 its reverse (223231103201), we get a palindrome (1246242426421).

The spelling of 1023011323220 in words is "one trillion, twenty-three billion, eleven million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3008856833 6017713666 12035427332 15044284165 30088568330 51150566161 60177136660 102301132322 204602264644 255752830805 511505661610 1023011323220