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33142200030 = 2335891379201
BaseRepresentation
bin11110110111011011…
…011101011011011110
310011112201220012111000
4132313123131123132
51020333400400110
623120400211130
72252203023612
oct366733353336
9104481805430
1033142200030
11130679a9465
12650b309aa6
133182377164
1418658a9342
15cde90b1c0
hex7b76dd6de

33142200030 has 64 divisors (see below), whose sum is σ = 89372289600. Its totient is φ = 8738611200.

The previous prime is 33142200019. The next prime is 33142200031. The reversal of 33142200030 is 3000224133.

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

It is a junction number, because it is equal to n+sod(n) for n = 33142199976 and 33142200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142200031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665571 + ... + 713630.

It is an arithmetic number, because the mean of its divisors is an integer number (1396442025).

Almost surely, 233142200030 is an apocalyptic number.

33142200030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33142200030 is an abundant number, since it is smaller than the sum of its proper divisors (56230089570).

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

33142200030 is a wasteful number, since it uses less digits than its factorization.

33142200030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379306 (or 1379300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33142200030 its reverse (3000224133), we get a palindrome (36142424163).

The spelling of 33142200030 in words is "thirty-three billion, one hundred forty-two million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 445 534 801 890 1335 1602 2403 2670 4005 4806 8010 12015 24030 1379201 2758402 4137603 6896005 8275206 12412809 13792010 20688015 24825618 37238427 41376030 62064045 74476854 122748889 124128090 186192135 245497778 368246667 372384270 613744445 736493334 1104740001 1227488890 1841233335 2209480002 3314220003 3682466670 5523700005 6628440006 11047400010 16571100015 33142200030