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61000106050 = 25213896171709
BaseRepresentation
bin111000110011111000…
…111100000001000010
312211110012110110100001
4320303320330001002
51444412011343200
644004551550214
74256432226532
oct706370740102
9184405413301
1061000106050
1123962a73594
12b9a498b36a
1359a1a03710
142d4962b4c2
1518c045576a
hexe33e3c042

61000106050 has 96 divisors (see below), whose sum is σ = 123833480400. Its totient is φ = 22220943360.

The previous prime is 61000106023. The next prime is 61000106051. The reversal of 61000106050 is 5060100016.

It can be written as a sum of positive squares in 24 ways, for example, as 42003272809 + 18996833241 = 204947^2 + 137829^2 .

It is a super-2 number, since 2×610001060502 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61000106051) 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, 35692596 + ... + 35694304.

Almost surely, 261000106050 is an apocalyptic number.

61000106050 is an abundant number, since it is smaller than the sum of its proper divisors (62833374350).

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

61000106050 is a wasteful number, since it uses less digits than its factorization.

61000106050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 61000106050 its reverse (5060100016), we get a palindrome (66060206066).

The spelling of 61000106050 in words is "sixty-one billion, one hundred six thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 89 130 178 325 445 617 650 890 1157 1234 1709 2225 2314 3085 3418 4450 5785 6170 8021 8545 11570 15425 16042 17090 22217 28925 30850 40105 42725 44434 54913 57850 80210 85450 109826 111085 152101 200525 222170 274565 304202 401050 549130 555425 713869 760505 1054453 1110850 1372825 1427738 1521010 1977313 2108906 2745650 3569345 3802525 3954626 5272265 7138690 7605050 9886565 10544530 13707889 17846725 19773130 26361325 27415778 35693450 49432825 52722650 68539445 93846317 98865650 137078890 187692634 342697225 469231585 685394450 938463170 1220002121 2346157925 2440004242 4692315850 6100010605 12200021210 30500053025 61000106050