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100060065006 = 231127313713781
BaseRepresentation
bin101110100110000001…
…0110110110011101110
3100120021100122221221120
41131030002312303232
53114410334040011
6113544510241410
710141403343066
oct1351402666356
9316240587846
10100060065006
1139487330900
1217485ab6266
1395880b0175
144bb30183a6
152909651a06
hex174c0b6cee

100060065006 has 96 divisors (see below), whose sum is σ = 224623887264. Its totient is φ = 29685427200.

The previous prime is 100060064983. The next prime is 100060065011. The reversal of 100060065006 is 600560060001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7253836 + ... + 7267616.

It is an arithmetic number, because the mean of its divisors is an integer number (2339832159).

Almost surely, 2100060065006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100060065006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112311943632).

100060065006 is an abundant number, since it is smaller than the sum of its proper divisors (124563822258).

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

100060065006 is a wasteful number, since it uses less digits than its factorization.

100060065006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 14007 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

It can be divided in two parts, 1000 and 60065006, that added together give a palindrome (60066006).

The spelling of 100060065006 in words is "one hundred billion, sixty million, sixty-five thousand, six".

Divisors: 1 2 3 6 11 22 33 66 73 121 137 146 219 242 274 363 411 438 726 803 822 1507 1606 2409 3014 4521 4818 8833 9042 10001 13781 16577 17666 20002 26499 27562 30003 33154 41343 49731 52998 60006 82686 99462 110011 151591 220022 303182 330033 454773 660066 909546 1006013 1210121 1667501 1887997 2012026 2420242 3018039 3335002 3630363 3775994 5002503 5663991 6036078 7260726 10005006 11066143 11327982 20767967 22132286 33198429 41535934 62303901 66396858 121727573 124607802 137823781 228447637 243455146 275647562 365182719 413471343 456895274 685342911 730365438 826942686 1370685822 1516061591 3032123182 4548184773 9096369546 16676677501 33353355002 50030032503 100060065006