Search a number
-
+
101001101310102 = 23723614214071337
BaseRepresentation
bin10110111101110000100110…
…110000111111100010010110
3111020121121111102001022012210
4112331300212300333202112
5101214300223413410402
6554451133154054250
730163042305652020
oct2675604660774226
9436547442038183
10101001101310102
112a200365661704
12b3b283457a386
134448494630866
141ad269d619010
15ba240ca7a06c
hex5bdc26c3f896

101001101310102 has 128 divisors (see below), whose sum is σ = 245427811043328. Its totient is φ = 27085784140800.

The previous prime is 101001101310097. The next prime is 101001101310119. The reversal of 101001101310102 is 201013101100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22772178 + ... + 26843514.

It is an arithmetic number, because the mean of its divisors is an integer number (1917404773776).

Almost surely, 2101001101310102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001101310102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122713905521664).

101001101310102 is an abundant number, since it is smaller than the sum of its proper divisors (144426709733226).

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

101001101310102 is a wasteful number, since it uses less digits than its factorization.

101001101310102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071854.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101001101310102 its reverse (201013101100101), we get a palindrome (302014202410203).

The spelling of 101001101310102 in words is "one hundred one trillion, one billion, one hundred one million, three hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 61 69 122 138 161 183 322 366 421 427 483 842 854 966 1263 1281 1403 2526 2562 2806 2947 4209 5894 8418 8841 9683 9821 17682 19366 19642 25681 29049 29463 51362 58098 58926 67781 77043 135562 154086 179767 203343 359534 406686 539301 590663 1078602 1181326 1771989 3543978 4071337 4134641 8142674 8269282 12214011 12403923 24428022 24807846 28499359 56998718 85498077 93640751 170996154 187281502 248351557 280922253 496703114 561844506 655485257 745054671 1310970514 1490109342 1714032877 1738460899 1966455771 3428065754 3476921798 3932911542 5142098631 5215382697 5712085811 10284197262 10430765394 11424171622 11998230139 17136257433 23996460278 34272514866 35994690417 39422756171 39984600677 71989380834 78845512342 79969201354 104556005497 118268268513 119953802031 209112010994 236536537026 239907604062 275959293197 313668016491 551918586394 627336032982 731892038479 827877879591 1463784076958 1655755759182 2195676115437 2404788126431 4391352230874 4809576252862 7214364379293 14428728758586 16833516885017 33667033770034 50500550655051 101001101310102