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1023443326116 = 22321032278211481
BaseRepresentation
bin11101110010010011111…
…10011101010010100100
310121211200112011210011200
432321021332131102210
5113232002442413431
62102055142202500
7133640610510411
oct16711176352244
93554615153150
101023443326116
11365049092882
12146425123430
1375683158a43
143776bb77108
151b94e946ee6
hexee49f9d4a4

1023443326116 has 144 divisors (see below), whose sum is σ = 2628630845568. Its totient is φ = 335710886400.

The previous prime is 1023443326097. The next prime is 1023443326141. The reversal of 1023443326116 is 6116233443201.

1023443326116 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 4 + 3 + 32 + 611 + 6 = 666.

It is a super-2 number, since 2×10234433261162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691048096 + ... + 691049576.

It is an arithmetic number, because the mean of its divisors is an integer number (18254380872).

Almost surely, 21023443326116 is an apocalyptic number.

It is an amenable number.

1023443326116 is an abundant number, since it is smaller than the sum of its proper divisors (1605187519452).

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

1023443326116 is a wasteful number, since it uses less digits than its factorization.

1023443326116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1023443326116 its reverse (6116233443201), we get a palindrome (7139676769317).

The spelling of 1023443326116 in words is "one trillion, twenty-three billion, four hundred forty-three million, three hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 227 309 412 454 618 681 821 908 927 1236 1362 1481 1642 1854 2043 2463 2724 2962 3284 3708 4086 4443 4926 5924 7389 8172 8886 9852 13329 14778 17772 23381 26658 29556 46762 53316 70143 84563 93524 140286 152543 169126 186367 210429 253689 280572 305086 336187 338252 372734 420858 457629 507378 559101 610172 672374 745468 761067 841716 915258 1008561 1014756 1118202 1215901 1344748 1372887 1522134 1677303 1830516 2017122 2236404 2431802 2745774 3025683 3044268 3354606 3647703 4034244 4863604 5491548 6051366 6709212 7295406 10943109 12102732 14590812 19195801 21886218 34627261 38391602 43772436 57587403 69254522 76783204 103881783 115174806 125237803 138509044 172762209 207763566 230349612 250475606 276009527 311645349 345524418 375713409 415527132 500951212 552019054 623290698 691048836 751426818 828028581 1104038108 1127140227 1246581396 1502853636 1656057162 2254280454 2484085743 3312114324 4508560908 4968171486 9936342972 28428981281 56857962562 85286943843 113715925124 170573887686 255860831529 341147775372 511721663058 1023443326116