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133212022300 = 22527233780671
BaseRepresentation
bin111110000010000001…
…1100010011000011100
3110201211202220212212201
41330010003202120130
54140304234203200
6141110255541244
712424055335600
oct1740403423034
9421752825781
10133212022300
1151549794015
122199852a824
13c73c492546
146639d03500
1536e9d38c6a
hex1f040e261c

133212022300 has 108 divisors (see below), whose sum is σ = 337267205184. Its totient is φ = 45536601600.

The previous prime is 133212022291. The next prime is 133212022303. The reversal of 133212022300 is 3220212331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212022303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1610965 + ... + 1691635.

Almost surely, 2133212022300 is an apocalyptic number.

133212022300 is a gapful number since it is divisible by the number (10) 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 133212022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168633602592).

133212022300 is an abundant number, since it is smaller than the sum of its proper divisors (204055182884).

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

133212022300 is a wasteful number, since it uses less digits than its factorization.

133212022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81036 (or 81022 counting only the distinct ones).

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

Adding to 133212022300 its reverse (3220212331), we get a palindrome (136432234631).

The spelling of 133212022300 in words is "one hundred thirty-three billion, two hundred twelve million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 337 350 490 674 700 980 1225 1348 1685 2359 2450 3370 4718 4900 6740 8425 9436 11795 16513 16850 23590 33026 33700 47180 58975 66052 80671 82565 117950 161342 165130 235900 322684 330260 403355 412825 564697 806710 825650 1129394 1613420 1651300 2016775 2258788 2823485 3952879 4033550 5646970 7905758 8067100 11293940 14117425 15811516 19764395 27186127 28234850 39528790 54372254 56469700 79057580 98821975 108744508 135930635 190302889 197643950 271861270 380605778 395287900 543722540 679653175 761211556 951514445 1332120223 1359306350 1903028890 2664240446 2718612700 3806057780 4757572225 5328480892 6660601115 9515144450 13321202230 19030288900 26642404460 33303005575 66606011150 133212022300