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2113021222032 = 2437531013117133
BaseRepresentation
bin11110101111111001111…
…000010001110010010000
321111000002002012210211110
4132233321320101302100
5234104431413101112
64254413014013320
7305442431020020
oct36577170216220
97430062183743
102113021222032
11745144436806
122a1626647240
13124345966206
14743b1001a80
1539e7045c13c
hex1ebf9e11c90

2113021222032 has 160 divisors (see below), whose sum is σ = 6362478989568. Its totient is φ = 591739619328.

The previous prime is 2113021222031. The next prime is 2113021222043. The reversal of 2113021222032 is 2302221203112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2113021222031) 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, 17980938 + ... + 18098070.

Almost surely, 22113021222032 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 2113021222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181239494784).

2113021222032 is an abundant number, since it is smaller than the sum of its proper divisors (4249457767536).

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

2113021222032 is a wasteful number, since it uses less digits than its factorization.

2113021222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118217 (or 118211 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2113021222032 its reverse (2302221203112), we get a palindrome (4415242425144).

The spelling of 2113021222032 in words is "two trillion, one hundred thirteen billion, twenty-one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1013 1113 1272 1484 2026 2226 2544 2968 3039 4052 4452 5936 6078 7091 8104 8904 12156 14182 16208 17808 21273 24312 28364 42546 48624 53689 56728 85092 107378 113456 117133 161067 170184 214756 234266 322134 340368 351399 375823 429512 468532 644268 702798 751646 819931 859024 937064 1127469 1288536 1405596 1503292 1639862 1874128 2254938 2459793 2577072 2811192 3006584 3279724 4509876 4919586 5622384 6013168 6208049 6559448 9019752 9839172 12416098 13118896 18039504 18624147 19678344 24832196 37248294 39356688 43456343 49664392 74496588 86912686 99328784 118655729 130369029 148993176 173825372 237311458 260738058 297986352 347650744 355967187 474622916 521476116 695301488 711934374 830590103 949245832 1042952232 1423868748 1661180206 1898491664 2085904464 2491770309 2847737496 3322360412 4983540618 5695474992 6288753637 6644720824 9967081236 12577507274 13289441648 18866260911 19934162472 25155014548 37732521822 39868324944 44021275459 50310029096 75465043644 88042550918 100620058192 132063826377 150930087288 176085101836 264127652754 301860174576 352170203672 528255305508 704340407344 1056510611016 2113021222032