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32132120130 = 232511227142981
BaseRepresentation
bin11101111011001110…
…010011111001000010
310001221100020211100100
4131323032103321002
51011301310321010
622432234503230
72215156341345
oct357316237102
9101840224310
1032132120130
1112699820490
126288b94b16
13305101ac46
1417ab69645c
15c80dd82c0
hex77b393e42

32132120130 has 96 divisors (see below), whose sum is σ = 91540507968. Its totient is φ = 7755235200.

The previous prime is 32132120113. The next prime is 32132120131. The reversal of 32132120130 is 3102123123.

32132120130 is a `hidden beast` number, since 321 + 3 + 212 + 0 + 130 = 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 (32132120131) 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, 153240 + ... + 296220.

It is an arithmetic number, because the mean of its divisors is an integer number (953546958).

Almost surely, 232132120130 is an apocalyptic number.

32132120130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32132120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45770253984).

32132120130 is an abundant number, since it is smaller than the sum of its proper divisors (59408387838).

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

32132120130 is a wasteful number, since it uses less digits than its factorization.

32132120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143232 (or 143229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32132120130 its reverse (3102123123), we get a palindrome (35234243253).

The spelling of 32132120130 in words is "thirty-two billion, one hundred thirty-two million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 227 330 454 495 681 990 1135 1362 2043 2270 2497 3405 4086 4994 6810 7491 10215 12485 14982 20430 22473 24970 37455 44946 74910 112365 142981 224730 285962 428943 714905 857886 1286829 1429810 1572791 2144715 2573658 3145582 4289430 4718373 6434145 7863955 9436746 12868290 14155119 15727910 23591865 28310238 32456687 47183730 64913374 70775595 97370061 141551190 162283435 194740122 292110183 324566870 357023557 486850305 584220366 714047114 973700610 1071070671 1460550915 1785117785 2142141342 2921101830 3213212013 3570235570 5355353355 6426424026 10710706710 16066060065 32132120130