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1042221400 = 235211243067
BaseRepresentation
bin111110000111110…
…000100101011000
32200122010022222121
4332013300211120
54113302041100
6251230231024
734553510233
oct7607604530
92618108877
101042221400
11495341400
12251055474
13137c00b6c
149c5bc41a
156177151a
hex3e1f0958

1042221400 has 72 divisors (see below), whose sum is σ = 2663540460. Its totient is φ = 378980800.

The previous prime is 1042221377. The next prime is 1042221403. The reversal of 1042221400 is 41222401.

1042221400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042221403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2667 + ... + 45733.

Almost surely, 21042221400 is an apocalyptic number.

1042221400 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 1042221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331770230).

1042221400 is an abundant number, since it is smaller than the sum of its proper divisors (1621319060).

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

1042221400 is a wasteful number, since it uses less digits than its factorization.

1042221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43105 (or 43085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1042221400 is about 32283.4539663897. The cubic root of 1042221400 is about 1013.8802473385.

Adding to 1042221400 its reverse (41222401), we get a palindrome (1083443801).

The spelling of 1042221400 in words is "one billion, forty-two million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 43067 86134 172268 215335 344536 430670 473737 861340 947474 1076675 1722680 1894948 2153350 2368685 3789896 4306700 4737370 5211107 8613400 9474740 10422214 11843425 18949480 20844428 23686850 26055535 41688856 47373700 52111070 94747400 104222140 130277675 208444280 260555350 521110700 1042221400