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3213202230100 = 2252294127024409
BaseRepresentation
bin101110110000100001110…
…001110000101101010100
3102101011211120212201221201
4232300201301300231110
5410121114232330400
610500042535122244
7451101101211622
oct56604161605524
912334746781851
103213202230100
111029790988845
1243a8a6b13384
131a40080a9145
14b173c546512
15588b1c6506a
hex2ec21c70b54

3213202230100 has 72 divisors (see below), whose sum is σ = 7389014182200. Its totient is φ = 1210693478400.

The previous prime is 3213202230067. The next prime is 3213202230103. The reversal of 3213202230100 is 10322023123.

It can be written as a sum of positive squares in 12 ways, for example, as 998236777924 + 2214965452176 = 999118^2 + 1488276^2 .

It is a super-2 number, since 2×32132022301002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213202230103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13393305 + ... + 13631104.

It is an arithmetic number, because the mean of its divisors is an integer number (102625196975).

Almost surely, 23213202230100 is an apocalyptic number.

It is an amenable number.

3213202230100 is an abundant number, since it is smaller than the sum of its proper divisors (4175811952100).

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

3213202230100 is a wasteful number, since it uses less digits than its factorization.

3213202230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27024493 (or 27024486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3213202230100 its reverse (10322023123), we get a palindrome (3223524253223).

The spelling of 3213202230100 in words is "three trillion, two hundred thirteen billion, two hundred two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1189 1450 2050 2378 2900 4100 4756 5945 11890 23780 29725 59450 118900 27024409 54048818 108097636 135122045 270244090 540488180 675610225 783707861 1108000769 1351220450 1567415722 2216001538 2702440900 3134831444 3918539305 4432003076 5540003845 7837078610 11080007690 15674157220 19592696525 22160015380 27700019225 32132022301 39185393050 55400038450 64264044602 78370786100 110800076900 128528089204 160660111505 321320223010 642640446020 803300557525 1606601115050 3213202230100