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2001021212220 = 2235415939136963
BaseRepresentation
bin11101000111100110001…
…010001001011000111100
321002021222121102210202220
4131013212022021120330
5230241042412242340
64131131221045340
7264366112444122
oct35074612113074
97067877383686
102001021212220
117016a0342728
12283989b56850
13116906cba664
146cbc835d912
15370b799ded0
hex1d1e628963c

2001021212220 has 96 divisors (see below), whose sum is σ = 5740522824960. Its totient is φ = 520499427840.

The previous prime is 2001021212213. The next prime is 2001021212231. The reversal of 2001021212220 is 222121201002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001021212220.

It is a congruent number.

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, 14541459 + ... + 14678421.

It is an arithmetic number, because the mean of its divisors is an integer number (59797112760).

Almost surely, 22001021212220 is an apocalyptic number.

2001021212220 is a gapful number since it is divisible by the number (20) 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 2001021212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870261412480).

2001021212220 is an abundant number, since it is smaller than the sum of its proper divisors (3739501612740).

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

2001021212220 is a wasteful number, since it uses less digits than its factorization.

2001021212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142955 (or 142953 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2001021212220 its reverse (222121201002), we get a palindrome (2223142413222).

The spelling of 2001021212220 in words is "two trillion, one billion, twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 5939 11878 17817 23756 29695 35634 59390 71268 89085 118780 136963 178170 243499 273926 356340 410889 486998 547852 684815 730497 821778 973996 1217495 1369630 1460994 1643556 2054445 2434990 2739260 2921988 3652485 4108890 4869980 5615483 7304970 8217780 11230966 14609940 16846449 22461932 28077415 33692898 56154830 67385796 84232245 112309660 168464490 336928980 813423257 1626846514 2440269771 3253693028 4067116285 4880539542 8134232570 9761079084 12201348855 16268465140 24402697710 33350353537 48805395420 66700707074 100051060611 133401414148 166751767685 200102121222 333503535370 400204242444 500255303055 667007070740 1000510606110 2001021212220