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1020223023000 = 233531753587643
BaseRepresentation
bin11101101100010100000…
…01111110011110011000
310121112101002121102202220
432312022001332132120
5113203404043214000
62100403424024040
7133465035416526
oct16661201763630
93545332542686
101020223023000
11363746332445
12145886762020
137528bc2bb3c
14375441c5316
151b811d881a0
hexed8a07e798

1020223023000 has 512 divisors, whose sum is σ = 3445127562240. Its totient is φ = 250406707200.

The previous prime is 1020223022993. The next prime is 1020223023023. The reversal of 1020223023000 is 3203220201.

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

It is a congruent number.

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, 1586660679 + ... + 1586661321.

It is an arithmetic number, because the mean of its divisors is an integer number (6728764770).

Almost surely, 21020223023000 is an apocalyptic number.

1020223023000 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 1020223023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722563781120).

1020223023000 is an abundant number, since it is smaller than the sum of its proper divisors (2424904539240).

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

1020223023000 is a wasteful number, since it uses less digits than its factorization.

1020223023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1020223023000 its reverse (3203220201), we get a palindrome (1023426243201).

The spelling of 1020223023000 in words is "one trillion, twenty billion, two hundred twenty-three million, twenty-three thousand".