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2033210100132 = 22322913714215469
BaseRepresentation
bin11101100101100100110…
…001000000100110100100
321012101001220111201212200
4131211210301000212210
5231303003241201012
64154013244414500
7266615561461311
oct35454461004644
97171056451780
102033210100132
11714309106632
1228a071b47430
131199669c32b3
147059d391d08
1537d4d84c3dc
hex1d964c409a4

2033210100132 has 72 divisors (see below), whose sum is σ = 5355536167800. Its totient is φ = 649590025728.

The previous prime is 2033210100121. The next prime is 2033210100133. The reversal of 2033210100132 is 2310010123302.

2033210100132 is a `hidden beast` number, since 203 + 321 + 0 + 10 + 0 + 132 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334817305956 + 1698392794176 = 578634^2 + 1303224^2 .

It is a super-2 number, since 2×20332101001322 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2033210100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6964707 + ... + 7250762.

It is an arithmetic number, because the mean of its divisors is an integer number (74382446775).

Almost surely, 22033210100132 is an apocalyptic number.

It is an amenable number.

2033210100132 is an abundant number, since it is smaller than the sum of its proper divisors (3322326067668).

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

2033210100132 is a wasteful number, since it uses less digits than its factorization.

2033210100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215645 (or 14215640 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2033210100132 its reverse (2310010123302), we get a palindrome (4343220223434).

The spelling of 2033210100132 in words is "two trillion, thirty-three billion, two hundred ten million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 137 174 261 274 348 411 522 548 822 1044 1233 1644 2466 3973 4932 7946 11919 15892 23838 35757 47676 71514 143028 14215469 28430938 42646407 56861876 85292814 127939221 170585628 255878442 412248601 511756884 824497202 1236745803 1648994404 1947519253 2473491606 3710237409 3895038506 4946983212 5842557759 7420474818 7790077012 11685115518 14840949636 17527673277 23370231036 35055346554 56478058337 70110693108 112956116674 169434175011 225912233348 338868350022 508302525033 677736700044 1016605050066 2033210100132