Search a number
-
+
133321012022140 = 22541735297420467
BaseRepresentation
bin11110010100000100110111…
…100100000000101101111100
3122111001100211120000220121021
4132110010313210000231330
5114433312413034202030
61151314454415113524
740040060651140045
oct3624046744005574
9574040746026537
10133321012022140
113953113a684458
1212b526092128a4
13595116b177887
1424ccab2a798cc
151062ebaec097a
hex794137900b7c

133321012022140 has 96 divisors (see below), whose sum is σ = 290787145072704. Its totient is φ = 51305194045440.

The previous prime is 133321012022123. The next prime is 133321012022207. The reversal of 133321012022140 is 41220210123331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316868187 + ... + 317288653.

It is an arithmetic number, because the mean of its divisors is an integer number (3029032761174).

Almost surely, 2133321012022140 is an apocalyptic number.

133321012022140 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 133321012022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393572536352).

133321012022140 is an abundant number, since it is smaller than the sum of its proper divisors (157466133050564).

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

133321012022140 is a wasteful number, since it uses less digits than its factorization.

133321012022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425887 (or 425885 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 133321012022140 its reverse (41220210123331), we get a palindrome (174541222145471).

The spelling of 133321012022140 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, twelve million, twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5297 5986 10594 11972 14965 21188 26485 29930 52970 59860 105940 217177 386681 420467 434354 773362 840934 868708 1085885 1546724 1681868 1933405 2102335 2171770 3866810 4204670 4343540 7733620 8409340 15853921 17239147 30694091 31707842 34478294 61388182 63415684 68956588 79269605 86195735 122776364 153470455 158539210 172391470 306940910 317078420 344782940 613881820 1258457731 2227213699 2516915462 4454427398 5033830924 6292288655 8908854796 11136068495 12584577310 22272136990 25169154620 44544273980 91315761659 162586600027 182631523318 325173200054 365263046636 456578808295 650346400108 812933000135 913157616590 1625866000270 1826315233180 3251732000540 6666050601107 13332101202214 26664202404428 33330253005535 66660506011070 133321012022140