Search a number
-
+
10220733523 = 711131729139149
BaseRepresentation
bin10011000010011010…
…00000010001010011
3222101022010001121001
421201031000101103
5131413001433043
64410105442431
7511164541630
oct114115002123
928338101531
1010220733523
114375379410
121b92aa0417
13c6b653a20
146cd5c1187
153ec46074d
hex261340453

10220733523 has 128 divisors (see below), whose sum is σ = 15240960000. Its totient is φ = 6587965440.

The previous prime is 10220733493. The next prime is 10220733541. The reversal of 10220733523 is 32533702201.

It is not a de Polignac number, because 10220733523 - 213 = 10220725331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220733491 and 10220733500.

It is not an unprimeable number, because it can be changed into a prime (10220733323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68595453 + ... + 68595601.

It is an arithmetic number, because the mean of its divisors is an integer number (119070000).

Almost surely, 210220733523 is an apocalyptic number.

10220733523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10220733523 is a deficient number, since it is larger than the sum of its proper divisors (5020226477).

10220733523 is a wasteful number, since it uses less digits than its factorization.

10220733523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 10220733523 in words is "ten billion, two hundred twenty million, seven hundred thirty-three thousand, five hundred twenty-three".

Divisors: 1 7 11 13 17 29 77 91 119 139 143 149 187 203 221 319 377 493 973 1001 1043 1309 1529 1547 1639 1807 1937 2233 2363 2431 2533 2639 3451 4031 4147 4321 5423 6409 10703 11473 12649 13559 16541 17017 17731 19877 20711 21307 25993 27863 28217 29029 30247 30719 32929 37961 44341 44863 47531 52403 56173 68527 70499 73457 139139 144977 149149 181951 195041 215033 227821 230503 269243 310387 332717 337909 352087 362219 366821 393211 479689 493493 514199 576433 600619 617903 753797 808027 890851 954941 1594747 1884701 2365363 2464609 2535533 2961673 3872957 4035031 4204333 4325321 4577131 5276579 5656189 6235957 6606809 6684587 7808047 9799361 10210523 10504351 20731711 27110699 32039917 46247663 50348441 54656329 68595527 71473661 73530457 85888517 112315753 132736799 352439087 601219619 786210271 929157593 1460104789 10220733523