Search a number
-
+
2211312100340 = 225773216371047
BaseRepresentation
bin100000001011011100011…
…110001110001111110100
321211101210010211202212202
4200023130132032033310
5242212231344202330
64411510204404032
7315522242502320
oct40133436161764
97741703752782
102211312100340
117828a3039442
122b8697b46618
131306ab354535
1479057084980
153c7c45e0445
hex202dc78e3f4

2211312100340 has 48 divisors (see below), whose sum is σ = 5379849737472. Its totient is φ = 747778334976.

The previous prime is 2211312100331. The next prime is 2211312100351. The reversal of 2211312100340 is 430012131122.

2211312100340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22113121003402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108175304 + ... + 108195743.

It is an arithmetic number, because the mean of its divisors is an integer number (112080202864).

Almost surely, 22211312100340 is an apocalyptic number.

2211312100340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211312100340 is an abundant number, since it is smaller than the sum of its proper divisors (3168537637132).

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

2211312100340 is a wasteful number, since it uses less digits than its factorization.

2211312100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216371136 (or 216371134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2211312100340 its reverse (430012131122), we get a palindrome (2641324231462).

The spelling of 2211312100340 in words is "two trillion, two hundred eleven billion, three hundred twelve million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 216371047 432742094 865484188 1081855235 1514597329 2163710470 3029194658 4327420940 6058389316 7572986645 15145973290 15795086431 30291946580 31590172862 63180345724 78975432155 110565605017 157950864310 221131210034 315901728620 442262420068 552828025085 1105656050170 2211312100340