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102000320123022 = 23317317750746691
BaseRepresentation
bin10111001100010011001100…
…110110010001000010001110
3111101011010122200112022111000
4113030103030312101002032
5101332133123422414042
61000534144501041130
730325165006510506
oct2714231466210216
9441133580468430
10102000320123022
112a556102626142
12b5344189b61a6
1344bb786b02509
141b28baddd2a06
15bbd3e093374c
hex5cc4ccd9108e

102000320123022 has 128 divisors (see below), whose sum is σ = 240795081607680. Its totient is φ = 31894221381120.

The previous prime is 102000320122997. The next prime is 102000320123029. The reversal of 102000320123022 is 220321023000201.

102000320123022 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 320 + 123 + 0 + 22 = 666.

It is a super-3 number, since 3×1020003201230223 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102000320122986 and 102000320123004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000320123029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2184558697 + ... + 2184605387.

It is an arithmetic number, because the mean of its divisors is an integer number (1881211575060).

Almost surely, 2102000320123022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000320123022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120397540803840).

102000320123022 is an abundant number, since it is smaller than the sum of its proper divisors (138794761484658).

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

102000320123022 is a wasteful number, since it uses less digits than its factorization.

102000320123022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54543 (or 54537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102000320123022 its reverse (220321023000201), we get a palindrome (322321343123223).

The spelling of 102000320123022 in words is "one hundred two trillion, three hundred twenty million, one hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 317 459 634 918 951 1902 2853 5389 5706 7507 8559 10778 15014 16167 17118 22521 32334 45042 46691 48501 67563 93382 97002 127619 135126 140073 145503 202689 255238 280146 291006 382857 405378 420219 765714 793747 840438 1148571 1260657 1587494 2297142 2379719 2381241 2521314 3445713 4759438 4762482 6891426 7139157 7143723 14278314 14287446 14801047 21417471 21431169 29602094 40455223 42834942 42862338 44403141 64252413 80910446 88806282 121365669 128504826 133209423 242731338 251617799 266418846 350509337 364097007 399628269 503235598 701018674 728194014 754853397 799256538 1051528011 1092291021 1509706794 2103056022 2184582042 2264560191 3154584033 4529120382 5958658729 6309168066 6793680573 9463752099 11917317458 13587361146 17875976187 18927504198 35751952374 53627928561 107255857122 111111459829 160883785683 222222919658 321767571366 333334379487 666668758974 1000003138461 1888894817093 2000006276922 3000009415383 3777789634186 5666684451279 6000018830766 11333368902558 17000053353837 34000106707674 51000160061511 102000320123022