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1010130342220 = 2253741181183943
BaseRepresentation
bin11101011001100000111…
…01011101000101001100
310120120022201110010112001
432230300131131011030
5113022221331422340
62052014130522044
7132656654145316
oct16546035350514
93516281403461
101010130342220
1135a437275a4a
1214392a736324
1374340c9148c
1436c67a187b6
151b420cbe29a
hexeb3075d14c

1010130342220 has 96 divisors (see below), whose sum is σ = 2244084425856. Its totient is φ = 381422131200.

The previous prime is 1010130342211. The next prime is 1010130342223. The reversal of 1010130342220 is 222430310101.

It is a happy number.

1010130342220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1010130342223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5399569 + ... + 5583511.

It is an arithmetic number, because the mean of its divisors is an integer number (23375879436).

Almost surely, 21010130342220 is an apocalyptic number.

1010130342220 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 1010130342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122042212928).

1010130342220 is an abundant number, since it is smaller than the sum of its proper divisors (1233954083636).

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

1010130342220 is a wasteful number, since it uses less digits than its factorization.

1010130342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184211 (or 184209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1010130342220 its reverse (222430310101), we get a palindrome (1232560652321).

The spelling of 1010130342220 in words is "one trillion, ten billion, one hundred thirty million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 181 185 205 362 370 410 724 740 820 905 1517 1810 3034 3620 6068 6697 7421 7585 13394 14842 15170 26788 29684 30340 33485 37105 66970 74210 133940 148420 183943 274577 367886 549154 735772 919715 1098308 1372885 1839430 2745770 3678860 5491540 6805891 7541663 13611782 15083326 27223564 30166652 33293683 34029455 37708315 66587366 68058910 75416630 133174732 136117820 150833260 166468415 279041531 332936830 558083062 665873660 1116166124 1231866271 1365041003 1395207655 2463732542 2730082006 2790415310 4927465084 5460164012 5580830620 6159331355 6825205015 12318662710 13650410030 24637325420 27300820060 50506517111 101013034222 202026068444 252532585555 505065171110 1010130342220