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2133020202312 = 233432399861559
BaseRepresentation
bin11111000010100001111…
…010010101010101001000
321112220200211211021021210
4133002201322111111020
5234421411132433222
64311521305333120
7310051141365666
oct37024172252510
97486624737253
102133020202312
1175267732968a
122a54881971a0
131261b207495c
147534b0ddc36
153a741075d0c
hex1f0a1e95548

2133020202312 has 64 divisors (see below), whose sum is σ = 5458844160000. Its totient is φ = 694181404224.

The previous prime is 2133020202311. The next prime is 2133020202317. The reversal of 2133020202312 is 2132020203312.

It is a happy number.

It is a super-2 number, since 2×21330202023122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133020202311) 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 15 ways as a sum of consecutive naturals, for example, 2044989 + ... + 2906547.

It is an arithmetic number, because the mean of its divisors is an integer number (85294440000).

Almost surely, 22133020202312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133020202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729422080000).

2133020202312 is an abundant number, since it is smaller than the sum of its proper divisors (3325823957688).

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

2133020202312 is a wasteful number, since it uses less digits than its factorization.

2133020202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864010 (or 864006 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2133020202312 its reverse (2132020203312), we get a palindrome (4265040405624).

It can be divided in two parts, 2133020 and 202312, that added together give a palindrome (2335332).

The spelling of 2133020202312 in words is "two trillion, one hundred thirty-three billion, twenty million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2399 4798 7197 9596 14394 19192 28788 57576 103157 206314 309471 412628 618942 825256 861559 1237884 1723118 2475768 2584677 3446236 5169354 6892472 10338708 20677416 37047037 74094074 111141111 148188148 222282222 296376296 444564444 889128888 2066880041 4133760082 6200640123 8267520164 12401280246 16535040328 24802560492 49605120984 88875841763 177751683526 266627525289 355503367052 533255050578 711006734104 1066510101156 2133020202312