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321130022100 = 2235217263239417
BaseRepresentation
bin1001010110001001101…
…01110100010011010100
31010200220002210100220020
410223010311310103110
520230133241201400
6403305230505140
732125621102326
oct4530465642324
91120802710806
10321130022100
11114210586688
12522a19651b0
1324389669274
141178553d616
1585477412a0
hex4ac4d744d4

321130022100 has 144 divisors (see below), whose sum is σ = 987536043648. Its totient is φ = 80290549760.

The previous prime is 321130022099. The next prime is 321130022159. The reversal of 321130022100 is 1220031123.

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 321130022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221592 + ... + 1461008.

It is an arithmetic number, because the mean of its divisors is an integer number (6857889192).

Almost surely, 2321130022100 is an apocalyptic number.

321130022100 is a gapful number since it is divisible by the number (30) 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 321130022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493768021824).

321130022100 is an abundant number, since it is smaller than the sum of its proper divisors (666406021548).

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

321130022100 is a wasteful number, since it uses less digits than its factorization.

321130022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239714 (or 239707 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 321130022100 its reverse (1220031123), we get a palindrome (322350053223).

The spelling of 321130022100 in words is "three hundred twenty-one billion, one hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 263 300 340 425 510 526 789 850 1020 1052 1275 1315 1578 1700 2550 2630 3156 3945 4471 5100 5260 6575 7890 8942 13150 13413 15780 17884 19725 22355 26300 26826 39450 44710 53652 67065 78900 89420 111775 134130 223550 239417 268260 335325 447100 478834 670650 718251 957668 1197085 1341300 1436502 2394170 2873004 3591255 4070089 4788340 5985425 7182510 8140178 11970850 12210267 14365020 16280356 17956275 20350445 23941700 24420534 35912550 40700890 48841068 61051335 62966671 71825100 81401780 101752225 122102670 125933342 188900013 203504450 244205340 251866684 305256675 314833355 377800026 407008900 610513350 629666710 755600052 944500065 1070433407 1221026700 1259333420 1574166775 1889000130 2140866814 3148333550 3211300221 3778000260 4281733628 4722500325 5352167035 6296667100 6422600442 9445000650 10704334070 12845200884 16056501105 18890001300 21408668140 26760835175 32113002210 53521670350 64226004420 80282505525 107043340700 160565011050 321130022100