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10060101016 = 2372174093691
BaseRepresentation
bin10010101111010000…
…01111010110011000
3221222002212002012221
421113220033112120
5131100341213031
64342130513424
7504204306400
oct112750172630
927862762187
1010060101016
1142a2734879
121b49135874
13c442a13c4
146b6129800
153dd2d0a11
hex257a0f598

10060101016 has 96 divisors (see below), whose sum is σ = 23296150800. Its totient is φ = 4046837760.

The previous prime is 10060101011. The next prime is 10060101049. The reversal of 10060101016 is 61010106001.

10060101016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723731 + ... + 2727421.

Almost surely, 210060101016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10060101016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648075400).

10060101016 is an abundant number, since it is smaller than the sum of its proper divisors (13236049784).

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

10060101016 is a wasteful number, since it uses less digits than its factorization.

10060101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10060101016 its reverse (61010106001), we get a palindrome (71070207017).

The spelling of 10060101016 in words is "ten billion, sixty million, one hundred one thousand, sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 409 476 818 833 952 1636 1666 2863 3272 3332 3691 5726 6664 6953 7382 11452 13906 14764 20041 22904 25837 27812 29528 40082 48671 51674 55624 62747 80164 97342 103348 125494 160328 180859 194684 206696 250988 340697 361718 389368 439229 501976 681394 723436 878458 1362788 1446872 1509619 1756916 2725576 3019238 3074603 3513832 6038476 6149206 10567333 12076952 12298412 21134666 24596824 25663523 42269332 51327046 73971331 84538664 102654092 147942662 179644661 205308184 295885324 359289322 591770648 718578644 1257512627 1437157288 2515025254 5030050508 10060101016