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4120004322 = 2327431017529
BaseRepresentation
bin1111010110010010…
…0100011011100010
3101122010111220102200
43311210210123202
531414210114242
61520453554030
7204045313260
oct36544443342
911563456380
104120004322
1118246a9255
1296b945916
1350874a5a5
142b1271430
15191a7c04c
hexf59246e2

4120004322 has 96 divisors (see below), whose sum is σ = 10543927680. Its totient is φ = 1138233600.

The previous prime is 4120004321. The next prime is 4120004323. The reversal of 4120004322 is 2234000214.

4120004322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4120004321) and next prime (4120004323).

It is a super-2 number, since 2×41200043222 = 33948871226597359368, which contains 22 as substring.

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 = 4120004295 and 4120004304.

It is not an unprimeable number, because it can be changed into a prime (4120004321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543454 + ... + 550982.

It is an arithmetic number, because the mean of its divisors is an integer number (109832580).

Almost surely, 24120004322 is an apocalyptic number.

4120004322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120004322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271963840).

4120004322 is an abundant number, since it is smaller than the sum of its proper divisors (6423923358).

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

4120004322 is a wasteful number, since it uses less digits than its factorization.

4120004322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4120004322 is about 64187.2598106509. The cubic root of 4120004322 is about 1603.1194768479.

Adding to 4120004322 its reverse (2234000214), we get a palindrome (6354004536).

The spelling of 4120004322 in words is "four billion, one hundred twenty million, four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 101 126 129 202 258 301 303 387 602 606 707 774 903 909 1414 1806 1818 2121 2709 4242 4343 5418 6363 7529 8686 12726 13029 15058 22587 26058 30401 39087 45174 52703 60802 67761 78174 91203 105406 135522 158109 182406 273609 316218 323747 474327 547218 647494 760429 948654 971241 1520858 1942482 2266229 2281287 2913723 4532458 4562574 5323003 5827446 6798687 6843861 10646006 13597374 13687722 15969009 20396061 31938018 32698447 40792122 47907027 65396894 95814054 98095341 196190682 228889129 294286023 457778258 588572046 686667387 1373334774 2060002161 4120004322