Search a number
-
+
101321231130020 = 22511683757890761
BaseRepresentation
bin10111000010011010101111…
…111111010101110110100100
3111021202012210210210010122202
4113002122233333111312210
5101240021340132130040
6555254155255114032
730225134363352116
oct2702325777256644
9437665723703582
10101321231130020
112a314102596610
12b444897372918
13446c7219bb8c5
141b03d8bd973b6
15baa8e759a015
hex5c26affd5da4

101321231130020 has 96 divisors (see below), whose sum is σ = 232764918454656. Its totient is φ = 36741498393600.

The previous prime is 101321231130017. The next prime is 101321231130043. The reversal of 101321231130020 is 20031132123101.

It is a happy number.

It is a super-2 number, since 2×1013212311300202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101321231129974 and 101321231130001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113301440 + ... + 114192200.

It is an arithmetic number, because the mean of its divisors is an integer number (2424634567236).

Almost surely, 2101321231130020 is an apocalyptic number.

101321231130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321231130020 is an abundant number, since it is smaller than the sum of its proper divisors (131443687324636).

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

101321231130020 is a wasteful number, since it uses less digits than its factorization.

101321231130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892221 (or 892219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101321231130020 its reverse (20031132123101), we get a palindrome (121352363253121).

The spelling of 101321231130020 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred thirty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 683 757 1366 1514 2732 3028 3415 3785 6830 7513 7570 8327 13660 15026 15140 16654 30052 33308 37565 41635 75130 83270 150260 166540 517031 890761 1034062 1781522 2068124 2585155 3563044 4453805 5170310 5687341 8907610 9798371 10340620 11374682 17815220 19596742 22749364 28436705 39193484 48991855 56873410 97983710 113746820 195967420 608389763 674306077 1216779526 1348612154 2433559052 2697224308 3041948815 3371530385 6083897630 6692287393 6743060770 7417366847 12167795260 13384574786 13486121540 14834733694 26769149572 29669467388 33461436965 37086834235 66922873930 74173668470 133845747860 148347336940 460551050591 921102101182 1842204202364 2302755252955 4605510505910 5066061556501 9211021011820 10132123113002 20264246226004 25330307782505 50660615565010 101321231130020