Search a number
-
+
101113156760 = 235711109301183
BaseRepresentation
bin101111000101011010…
…0000101010010011000
3100122222202020120020212
41132022310011102120
53124034432004020
6114241205510252
710206451436330
oct1361264052230
9318882216225
10101113156760
1139977817270
121771a712388
1396c5318a95
144c72c260c0
15296bd1dcc5
hex178ad05498

101113156760 has 128 divisors (see below), whose sum is σ = 286245273600. Its totient is φ = 31226549760.

The previous prime is 101113156759. The next prime is 101113156763. The reversal of 101113156760 is 67651311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113156763) 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, 185129 + ... + 486311.

It is an arithmetic number, because the mean of its divisors is an integer number (2236291200).

Almost surely, 2101113156760 is an apocalyptic number.

101113156760 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 101113156760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143122636800).

101113156760 is an abundant number, since it is smaller than the sum of its proper divisors (185132116840).

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

101113156760 is a wasteful number, since it uses less digits than its factorization.

101113156760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301321 (or 301317 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

Adding to 101113156760 its reverse (67651311101), we get a palindrome (168764467861).

The spelling of 101113156760 in words is "one hundred one billion, one hundred thirteen million, one hundred fifty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 109 110 140 154 218 220 280 308 385 436 440 545 616 763 770 872 1090 1199 1526 1540 2180 2398 3052 3080 3815 4360 4796 5995 6104 7630 8393 9592 11990 15260 16786 23980 30520 33572 41965 47960 67144 83930 167860 301183 335720 602366 1204732 1505915 2108281 2409464 3011830 3313013 4216562 6023660 6626026 8433124 10541405 12047320 13252052 16565065 16866248 21082810 23191091 26504104 32828947 33130130 42165620 46382182 65657894 66260260 84331240 92764364 115955455 131315788 132520520 164144735 185528728 229802629 231910910 262631576 328289470 361118417 459605258 463821820 656578940 722236834 919210516 927643640 1149013145 1313157880 1444473668 1805592085 1838421032 2298026290 2527828919 2888947336 3611184170 4596052580 5055657838 7222368340 9192105160 10111315676 12639144595 14444736680 20222631352 25278289190 50556578380 101113156760