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10133221340 = 225114110131109
BaseRepresentation
bin10010110111111110…
…01010111111011100
3222011012102222110002
421123333022333130
5131223101040330
64353302033432
7506052650234
oct113377127734
928135388402
1010133221340
11432aa371a0
121b69718878
13c56493278
146c1b20cc4
153e4925e45
hex25bfcafdc

10133221340 has 96 divisors (see below), whose sum is σ = 23825430720. Its totient is φ = 3588147200.

The previous prime is 10133221337. The next prime is 10133221361. The reversal of 10133221340 is 4312233101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9136706 + ... + 9137814.

It is an arithmetic number, because the mean of its divisors is an integer number (248181570).

Almost surely, 210133221340 is an apocalyptic number.

10133221340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912715360).

10133221340 is an abundant number, since it is smaller than the sum of its proper divisors (13692209380).

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

10133221340 is a wasteful number, since it uses less digits than its factorization.

10133221340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10133221340 its reverse (4312233101), we get a palindrome (14445454441).

The spelling of 10133221340 in words is "ten billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1013 1109 1804 2026 2218 2255 4052 4436 4510 5065 5545 9020 10130 11090 11143 12199 20260 22180 22286 24398 41533 44572 45469 48796 55715 60995 83066 90938 111430 121990 166132 181876 207665 222860 227345 243980 415330 454690 456863 500159 830660 909380 913726 1000318 1123417 1827452 2000636 2246834 2284315 2500795 4493668 4568630 5001590 5617085 9137260 10003180 11234170 12357587 22468340 24715174 46060097 49430348 61787935 92120194 123575870 184240388 230300485 247151740 460600970 506661067 921201940 1013322134 2026644268 2533305335 5066610670 10133221340