Search a number
-
+
10211021202132 = 223213928346115641
BaseRepresentation
bin1001010010010111000001…
…0010101010001011010100
31100011011102121212000102100
42110211300102222023110
52314244132411432012
633414513421442100
72102502424101042
oct224456022521324
940134377760370
1010211021202132
1132875192a4533
12118ab6a410330
13590b838b667a
14274304c3d392
1512a92ac438dc
hex949704aa2d4

10211021202132 has 144 divisors (see below), whose sum is σ = 26147009528640. Its totient is φ = 3359727244800.

The previous prime is 10211021202131. The next prime is 10211021202251. The reversal of 10211021202132 is 23120212011201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211021202131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652829032 + ... + 652844672.

It is an arithmetic number, because the mean of its divisors is an integer number (181576455060).

Almost surely, 210211021202132 is an apocalyptic number.

10211021202132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211021202132 is an abundant number, since it is smaller than the sum of its proper divisors (15935988326508).

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

10211021202132 is a wasteful number, since it uses less digits than its factorization.

10211021202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16534 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211021202132 its reverse (23120212011201), we get a palindrome (33331233213333).

The spelling of 10211021202132 in words is "ten trillion, two hundred eleven billion, twenty-one million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 283 417 461 556 566 834 849 922 1132 1251 1383 1668 1698 1844 2502 2547 2766 3396 4149 5004 5094 5532 8298 10188 15641 16596 31282 39337 46923 62564 64079 78674 93846 118011 128158 130463 140769 157348 187692 192237 236022 256316 260926 281538 354033 384474 391389 472044 521852 563076 576711 708066 768948 782778 1153422 1174167 1416132 1565556 2174099 2306844 2348334 4348198 4426403 4696668 6522297 7210501 8696396 8852806 13044594 13279209 14421002 17705612 18134357 19566891 21631503 26089188 26558418 28842004 36268714 39133782 39837627 43263006 53116836 54403071 64894509 72537428 78267564 79675254 86526012 108806142 129789018 159350508 163209213 217612284 259578036 326418426 615270017 652836852 1002259639 1230540034 1845810051 2004519278 2040571783 2461080068 3006778917 3691620102 4009038556 4081143566 5537430153 6013557834 6121715349 7383240204 8162287132 9020336751 11074860306 12027115668 12243430698 18040673502 18365146047 22149720612 24486861396 36081347004 36730292094 73460584188 283639477837 567278955674 850918433511 1134557911348 1701836867022 2552755300533 3403673734044 5105510601066 10211021202132