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1030220010120 = 23357411011132621
BaseRepresentation
bin11101111110111011110…
…01011101001010001000
310122111011210201000000010
432333131321131022020
5113334342310310440
62105135422111520
7134300545412550
oct16773571351210
93574153630003
101030220010120
11367a06379874
121477b671b5a0
13761c3102b32
1437c11ba2160
151bbe984d580
hexefdde5d288

1030220010120 has 512 divisors, whose sum is σ = 3687902991360. Its totient is φ = 225361920000.

The previous prime is 1030220010103. The next prime is 1030220010133. The reversal of 1030220010120 is 210100220301.

It is a super-2 number, since 2×10302200101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1030220010096 and 1030220010105.

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, 393062410 + ... + 393065030.

It is an arithmetic number, because the mean of its divisors is an integer number (7202935530).

Almost surely, 21030220010120 is an apocalyptic number.

1030220010120 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 1030220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843951495680).

1030220010120 is an abundant number, since it is smaller than the sum of its proper divisors (2657682981240).

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

1030220010120 is a wasteful number, since it uses less digits than its factorization.

1030220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1030220010120 its reverse (210100220301), we get a palindrome (1240320230421).

The spelling of 1030220010120 in words is "one trillion, thirty billion, two hundred twenty million, ten thousand, one hundred twenty".