Search a number
-
+
3212213102100 = 22325228661124529
BaseRepresentation
bin101110101111100110110…
…100100010011000010100
3102101002021122122211102100
4232233212310202120110
5410112103023231400
610455400442442100
7451034430601542
oct56574664423024
912332248584370
103212213102100
111029323610292
1243a66b803330
131a3bab1a76c2
14b1687028d92
1558854ed0100
hex2ebe6d22614

3212213102100 has 108 divisors (see below), whose sum is σ = 10068935664060. Its totient is φ = 856553395200.

The previous prime is 3212213102039. The next prime is 3212213102167. The reversal of 3212213102100 is 12013122123.

3212213102100 is a `hidden beast` number, since 32 + 1 + 221 + 310 + 2 + 100 = 666.

3212213102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 775111203216 + 2437101898884 = 880404^2 + 1561122^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25732636 + ... + 25857164.

Almost surely, 23212213102100 is an apocalyptic number.

3212213102100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3212213102100 is an abundant number, since it is smaller than the sum of its proper divisors (6856722561960).

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

3212213102100 is a wasteful number, since it uses less digits than its factorization.

3212213102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153210 (or 153200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3212213102100 its reverse (12013122123), we get a palindrome (3224226224223).

The spelling of 3212213102100 in words is "three trillion, two hundred twelve billion, two hundred thirteen million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 28661 57322 85983 114644 124529 143305 171966 249058 257949 286610 343932 373587 429915 498116 515898 573220 622645 716525 747174 859830 1031796 1120761 1245290 1289745 1433050 1494348 1719660 1867935 2149575 2241522 2490580 2579490 2866100 3113225 3735870 4299150 4483044 5158980 5603805 6226450 6448725 7471740 8598300 9339675 11207610 12452900 12897450 18679350 22415220 25794900 28019025 37358700 56038050 112076100 3569125669 7138251338 10707377007 14276502676 17845628345 21414754014 32122131021 35691256690 42829508028 53536885035 64244262042 71382513380 89228141725 107073770070 128488524084 160610655105 178456283450 214147540140 267684425175 321221310210 356912566900 535368850350 642442620420 803053275525 1070737700700 1606106551050 3212213102100