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2111113133232 = 243715519112241
BaseRepresentation
bin11110101110001000001…
…001011111110010110000
321110211011002210212001220
4132232020021133302300
5234042024430230412
64253455413025040
7305344231360635
oct36561011376260
97424132725056
102111113133232
11744355366414
122a1193625180
1312410055c99c
147426d83018c
1539dacba268c
hex1eb8825fcb0

2111113133232 has 80 divisors (see below), whose sum is σ = 5531573099520. Its totient is φ = 693661158400.

The previous prime is 2111113133221. The next prime is 2111113133263. The reversal of 2111113133232 is 2323313111112.

It is a super-2 number, since 2×21111131332322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 18752632 + ... + 18864872.

It is an arithmetic number, because the mean of its divisors is an integer number (69144663744).

Almost surely, 22111113133232 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 2111113133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765786549760).

2111113133232 is an abundant number, since it is smaller than the sum of its proper divisors (3420459966288).

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

2111113133232 is a wasteful number, since it uses less digits than its factorization.

2111113133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117842 (or 117836 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 2111113133232 its reverse (2323313111112), we get a palindrome (4434426244344).

The spelling of 2111113133232 in words is "two trillion, one hundred eleven billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 5519 11038 16557 22076 33114 44152 66228 88304 112241 132456 224482 264912 336723 391849 448964 673446 783698 897928 1175547 1346892 1567396 1795856 2351094 2693784 3134792 4702188 5387568 6269584 7969111 9404376 15938222 18808752 23907333 31876444 47814666 63752888 95629332 127505776 191258664 382517328 619458079 1238916158 1858374237 2477832316 3716748474 4955664632 7433496948 9911329264 14866993896 29733987792 43981523609 87963047218 131944570827 175926094436 263889141654 351852188872 527778283308 703704377744 1055556566616 2111113133232