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23332333100130 = 2335269587547273
BaseRepresentation
bin1010100111000011110110…
…11011010001110001100010
310001121112211102002110221000
411103201323123101301202
511024234104233201010
6121342420441212430
74625463652021365
oct523417333216142
9101545742073830
1023332333100130
11748620684276a
122749b67191116
1310032ca49b842
145a94105080dc
152a6dda6217c0
hex15387b6d1c62

23332333100130 has 128 divisors (see below), whose sum is σ = 62557358572800. Its totient is φ = 6188254060032.

The previous prime is 23332333100123. The next prime is 23332333100161. The reversal of 23332333100130 is 3100133323332.

23332333100130 is a `hidden beast` number, since 2 + 3 + 3 + 323 + 331 + 0 + 0 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23332333100094 and 23332333100103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42360174 + ... + 42907446.

It is an arithmetic number, because the mean of its divisors is an integer number (488729363850).

Almost surely, 223332333100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332333100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31278679286400).

23332333100130 is an abundant number, since it is smaller than the sum of its proper divisors (39225025472670).

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

23332333100130 is a wasteful number, since it uses less digits than its factorization.

23332333100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548145 (or 548139 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 23332333100130 its reverse (3100133323332), we get a palindrome (26432466423462).

The spelling of 23332333100130 in words is "twenty-three trillion, three hundred thirty-two billion, three hundred thirty-three million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 269 270 538 587 807 1174 1345 1614 1761 2421 2690 2935 3522 4035 4842 5283 5870 7263 8070 8805 10566 12105 14526 15849 17610 24210 26415 31698 36315 52830 72630 79245 157903 158490 315806 473709 547273 789515 947418 1094546 1421127 1579030 1641819 2368545 2736365 2842254 3283638 4263381 4737090 4925457 5472730 7105635 8209095 8526762 9850914 14211270 14776371 16418190 21316905 24627285 29552742 42633810 49254570 73881855 147216437 147763710 294432874 321249251 441649311 642498502 736082185 883298622 963747753 1324947933 1472164370 1606246255 1927495506 2208246555 2649895866 2891243259 3212492510 3974843799 4416493110 4818738765 5782486518 6624739665 7949687598 8673729777 9637477530 13249479330 14456216295 17347459554 19874218995 28912432590 39748437990 43368648885 86416048519 86737297770 172832097038 259248145557 432080242595 518496291114 777744436671 864160485190 1296240727785 1555488873342 2333233310013 2592481455570 3888722183355 4666466620026 7777444366710 11666166550065 23332333100130