Search a number
-
+
10123110022212 = 22321156123455489
BaseRepresentation
bin1001001101001111100001…
…1000000111110001000100
31022211202111221110100202200
42103103320120013301010
52311324112131202322
633310254220034500
72063241050305665
oct223237030076104
938752457410680
1010123110022212
113253206775930
121175b15092a30
135857b3769605
1426dd6551b36c
151284d2e718ac
hex934f8607c44

10123110022212 has 72 divisors (see below), whose sum is σ = 27915801469920. Its totient is φ = 3067547704320.

The previous prime is 10123110022189. The next prime is 10123110022217. The reversal of 10123110022212 is 21222001132101.

10123110022212 is a `hidden beast` number, since 101 + 231 + 100 + 22 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10123110022217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21996964 + ... + 22452452.

It is an arithmetic number, because the mean of its divisors is an integer number (387719464860).

Almost surely, 210123110022212 is an apocalyptic number.

10123110022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123110022212 is an abundant number, since it is smaller than the sum of its proper divisors (17792691447708).

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

10123110022212 is a wasteful number, since it uses less digits than its factorization.

10123110022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511633 (or 511628 counting only the distinct ones).

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

Adding to 10123110022212 its reverse (21222001132101), we get a palindrome (31345111154313).

The spelling of 10123110022212 in words is "ten trillion, one hundred twenty-three billion, one hundred ten million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 56123 112246 168369 224492 336738 455489 505107 617353 673476 910978 1010214 1234706 1366467 1821956 1852059 2020428 2469412 2732934 3704118 4099401 5010379 5465868 5556177 7408236 8198802 10020758 11112354 15031137 16397604 20041516 22224708 30062274 45093411 60124548 90186822 180373644 25563409147 51126818294 76690227441 102253636588 153380454882 230070682323 281197500617 306760909764 460141364646 562395001234 843592501851 920282729292 1124790002468 1687185003702 2530777505553 3374370007404 5061555011106 10123110022212