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102020323113300 = 223524431699451823
BaseRepresentation
bin10111001100100101110101…
…000111100111100101010100
3111101020001021201200111121210
4113030211311013213211110
5101333000110204111200
61000551253414341420
730326503466230434
oct2714456507474524
9441201251614553
10102020323113300
112a563637807869
12b53827b95a870
1344c0623cb6237
141b29b4a8562c4
15bbdbb1a90650
hex5cc9751e7954

102020323113300 has 144 divisors (see below), whose sum is σ = 296019903513600. Its totient is φ = 27127971212160.

The previous prime is 102020323113259. The next prime is 102020323113341. The reversal of 102020323113300 is 3311323020201.

It is an interprime number because it is at equal distance from previous prime (102020323113259) and next prime (102020323113341).

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, 225571189 + ... + 226023011.

It is an arithmetic number, because the mean of its divisors is an integer number (2055693774400).

Almost surely, 2102020323113300 is an apocalyptic number.

102020323113300 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 102020323113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148009951756800).

102020323113300 is an abundant number, since it is smaller than the sum of its proper divisors (193999580400300).

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

102020323113300 is a wasteful number, since it uses less digits than its factorization.

102020323113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453982 (or 453975 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102020323113300 its reverse (3311323020201), we get a palindrome (105331646133501).

The spelling of 102020323113300 in words is "one hundred two trillion, twenty billion, three hundred twenty-three million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 443 886 1329 1699 1772 2215 2658 3398 4430 5097 5316 6645 6796 8495 8860 10194 11075 13290 16990 20388 22150 25485 26580 33225 33980 42475 44300 50970 66450 84950 101940 127425 132900 169900 254850 451823 509700 752657 903646 1355469 1505314 1807292 2257971 2259115 2710938 3010628 3763285 4515942 4518230 5421876 6777345 7526570 9031884 9036460 11289855 11295575 13554690 15053140 18816425 22579710 22591150 27109380 33886725 37632850 45159420 45182300 56449275 67773450 75265700 112898550 135546900 200157589 225797100 400315178 600472767 767647277 800630356 1000787945 1200945534 1535294554 2001575890 2302941831 2401891068 3002363835 3070589108 3838236385 4003151780 4605883662 5003939725 6004727670 7676472770 9211767324 10007879450 11514709155 12009455340 15011819175 15352945540 19191181925 20015758900 23029418310 30023638350 38382363850 46058836620 57573545775 60047276700 76764727700 115147091550 230294183100 340067743711 680135487422 1020203231133 1360270974844 1700338718555 2040406462266 3400677437110 4080812924532 5101016155665 6801354874220 8501693592775 10202032311330 17003387185550 20404064622660 25505080778325 34006774371100 51010161556650 102020323113300