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1022301223020 = 22335711171446257
BaseRepresentation
bin11101110000001011110…
…01101011100001101100
310121201201221002221021000
432320011321223201230
5113222133103114040
62101345543040300
7133600402006650
oct16700571534154
93551657087230
101022301223020
11364612430920
12146166740090
13755306561ac
14376a01d8a60
151b8d4546130
hexee05e6b86c

1022301223020 has 384 divisors, whose sum is σ = 4198544824320. Its totient is φ = 199930429440.

The previous prime is 1022301222979. The next prime is 1022301223033. The reversal of 1022301223020 is 203221032201.

1022301223020 is a `hidden beast` number, since 10 + 2 + 230 + 122 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022301222984 and 1022301223002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16269 + ... + 1429988.

It is an arithmetic number, because the mean of its divisors is an integer number (10933710480).

Almost surely, 21022301223020 is an apocalyptic number.

1022301223020 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 1022301223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099272412160).

1022301223020 is an abundant number, since it is smaller than the sum of its proper divisors (3176243601300).

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

1022301223020 is a wasteful number, since it uses less digits than its factorization.

1022301223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446310 (or 1446302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022301223020 its reverse (203221032201), we get a palindrome (1225522255221).

The spelling of 1022301223020 in words is "one trillion, twenty-two billion, three hundred one million, two hundred twenty-three thousand, twenty".