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101220001201020 = 223513883146964023
BaseRepresentation
bin10111000000111100011110…
…001101110011101101111100
3111021101112111220210221000010
4113000330132031303231330
5101231342030301413040
6555135454314303220
730214621663223562
oct2700743615635574
9437345456727003
10101220001201020
112a285185972669
12b429145727b10
13446300b439130
141add107855a32
15ba7e703b1e80
hex5c0f1e373b7c

101220001201020 has 96 divisors (see below), whose sum is σ = 305562895852032. Its totient is φ = 24887475341568.

The previous prime is 101220001200947. The next prime is 101220001201079. The reversal of 101220001201020 is 20102100022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101220001200987 and 101220001201005.

It is a congruent number.

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, 72793272 + ... + 74170751.

It is an arithmetic number, because the mean of its divisors is an integer number (3182946831792).

Almost surely, 2101220001201020 is an apocalyptic number.

101220001201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220001201020 is an abundant number, since it is smaller than the sum of its proper divisors (204342894651012).

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

101220001201020 is a wasteful number, since it uses less digits than its factorization.

101220001201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146964931 (or 146964929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220001201020 its reverse (20102100022101), we get a palindrome (121322101223121).

The spelling of 101220001201020 in words is "one hundred one trillion, two hundred twenty billion, one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 883 1766 2649 3532 4415 5298 8830 10596 11479 13245 17660 22958 26490 34437 45916 52980 57395 68874 114790 137748 172185 229580 344370 688740 146964023 293928046 440892069 587856092 734820115 881784138 1469640230 1763568276 1910532299 2204460345 2939280460 3821064598 4408920690 5731596897 7642129196 8817841380 9552661495 11463193794 19105322990 22926387588 28657984485 38210645980 57315968970 114631937940 129769232309 259538464618 389307696927 519076929236 648846161545 778615393854 1297692323090 1557230787708 1687000020017 1946538484635 2595384646180 3374000040034 3893076969270 5061000060051 6748000080068 7786153938540 8435000100085 10122000120102 16870000200170 20244000240204 25305000300255 33740000400340 50610000600510 101220001201020