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101102132010 = 235112231210949
BaseRepresentation
bin101111000101000101…
…0000001101100101010
3100122221222111110010210
41132022022001230222
53124024121211020
6114240133321550
710206255641235
oct1361212015452
9318858443123
10101102132010
1139971577200
1217716a962b6
1396c2c58969
144c7159641c
15296ad923e0
hex178a281b2a

101102132010 has 96 divisors (see below), whose sum is σ = 278305372800. Its totient is φ = 23443953280.

The previous prime is 101102131973. The next prime is 101102132023. The reversal of 101102132010 is 10231201101.

It is a super-3 number, since 3×1011021320103 (a number of 34 digits) contains 333 as substring.

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, 521985 + ... + 688964.

It is an arithmetic number, because the mean of its divisors is an integer number (2899014300).

Almost surely, 2101102132010 is an apocalyptic number.

101102132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102132010 is an abundant number, since it is smaller than the sum of its proper divisors (177203240790).

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

101102132010 is a wasteful number, since it uses less digits than its factorization.

101102132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211004 (or 1210993 counting only the distinct ones).

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

Adding to 101102132010 its reverse (10231201101), we get a palindrome (111333333111).

The spelling of 101102132010 in words is "one hundred one billion, one hundred two million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 121 138 165 230 242 253 330 345 363 506 605 690 726 759 1210 1265 1518 1815 2530 2783 3630 3795 5566 7590 8349 13915 16698 27830 41745 83490 1210949 2421898 3632847 6054745 7265694 12109490 13320439 18164235 26640878 27851827 36328470 39961317 55703654 66602195 79922634 83555481 133204390 139259135 146524829 167110962 199806585 278518270 293049658 306370097 399613170 417777405 439574487 612740194 732624145 835554810 879148974 919110291 1465248290 1531850485 1838220582 2197872435 3063700970 3370071067 4395744870 4595551455 6740142134 9191102910 10110213201 16850355335 20220426402 33700710670 50551066005 101102132010