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2002021032 = 23311192913763
BaseRepresentation
bin111011101010100…
…0110101010101000
312011112011012120010
41313111012222220
513100004133112
6530354131520
7100416620004
oct16725065250
95145135503
102002021032
119380a8040
1247a580ba0
1325ba0423b
1414dc63704
15bab6163c
hex77546aa8

2002021032 has 128 divisors (see below), whose sum is σ = 5946048000. Its totient is φ = 554883840.

The previous prime is 2002021027. The next prime is 2002021069. The reversal of 2002021032 is 2301202002.

2002021032 = T21088 + T21089 + ... + T21096.

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 = 2002020999 and 2002021017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138583 + ... + 152345.

It is an arithmetic number, because the mean of its divisors is an integer number (46453500).

Almost surely, 22002021032 is an apocalyptic number.

2002021032 is a gapful number since it is divisible by the number (22) 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 2002021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973024000).

2002021032 is an abundant number, since it is smaller than the sum of its proper divisors (3944026968).

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

2002021032 is a wasteful number, since it uses less digits than its factorization.

2002021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002021032 is about 44743.9496692011. The cubic root of 2002021032 is about 1260.3452971506.

Adding to 2002021032 its reverse (2301202002), we get a palindrome (4303223034).

The spelling of 2002021032 in words is "two billion, two million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 29 33 38 44 57 58 66 76 87 88 114 116 132 152 174 209 228 232 264 319 348 418 456 551 627 638 696 836 957 1102 1254 1276 1653 1672 1914 2204 2508 2552 3306 3828 4408 5016 6061 6612 7656 12122 13224 13763 18183 24244 27526 36366 41289 48488 55052 72732 82578 110104 145464 151393 165156 261497 302786 330312 399127 454179 522994 605572 784491 798254 908358 1045988 1197381 1211144 1568982 1596508 1816716 2091976 2394762 2876467 3137964 3193016 3633432 4390397 4789524 5752934 6275928 7583413 8629401 8780794 9579048 11505868 13171191 15166826 17258802 17561588 22750239 23011736 26342382 30333652 34517604 35123176 45500478 52684764 60667304 69035208 83417543 91000956 105369528 166835086 182001912 250252629 333670172 500505258 667340344 1001010516 2002021032