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1023023100330 = 232571119103241313
BaseRepresentation
bin11101110001100001110…
…11011011000110101010
310121210121020110002202200
432320300323123012222
5113230122403202310
62101545331241030
7133624315606350
oct16706073330652
93553536402680
101023023100330
11364952962a40
12146328449176
137561708532a
143772c0297d0
151b927ada9c0
hexee30edb1aa

1023023100330 has 768 divisors, whose sum is σ = 3550548418560. Its totient is φ = 197970739200.

The previous prime is 1023023100283. The next prime is 1023023100343. The reversal of 1023023100330 is 330013203201.

1023023100330 is a `hidden beast` number, since 1 + 0 + 2 + 302 + 31 + 0 + 0 + 330 = 666.

It is a super-2 number, since 2×10230231003302 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3268444254 + ... + 3268444566.

It is an arithmetic number, because the mean of its divisors is an integer number (4623109920).

Almost surely, 21023023100330 is an apocalyptic number.

1023023100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023023100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775274209280).

1023023100330 is an abundant number, since it is smaller than the sum of its proper divisors (2527525318230).

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

1023023100330 is a wasteful number, since it uses less digits than its factorization.

1023023100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1023023100330 its reverse (330013203201), we get a palindrome (1353036303531).

The spelling of 1023023100330 in words is "one trillion, twenty-three billion, twenty-three million, one hundred thousand, three hundred thirty".