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101221340021340 = 223571121909380957
BaseRepresentation
bin10111000000111101101110…
…000001000000001001011100
3111021101122222020001001012220
4113000331232001000021130
5101231402301021140330
6555140235222025340
730215000111060040
oct2700755601001134
9437348866031186
10101221340021340
112a285802675140
12b429459b78250
1344631929169c6
141add1d35a0020
15ba7eecbbe710
hex5c0f6e04025c

101221340021340 has 96 divisors (see below), whose sum is σ = 353354496090624. Its totient is φ = 21033005717760.

The previous prime is 101221340021303. The next prime is 101221340021341. The reversal of 101221340021340 is 43120043122101.

101221340021340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101221340021340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221340021341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10954685859 + ... + 10954695098.

It is an arithmetic number, because the mean of its divisors is an integer number (3680776000944).

Almost surely, 2101221340021340 is an apocalyptic number.

101221340021340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221340021340 is an abundant number, since it is smaller than the sum of its proper divisors (252133156069284).

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

101221340021340 is a wasteful number, since it uses less digits than its factorization.

101221340021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909380987 (or 21909380985 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101221340021340 its reverse (43120043122101), we get a palindrome (144341383143441).

The spelling of 101221340021340 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred forty million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 21909380957 43818761914 65728142871 87637523828 109546904785 131456285742 153365666699 219093809570 241003190527 262912571484 306731333398 328640714355 438187619140 460097000097 482006381054 613462666796 657281428710 723009571581 766828333495 920194000194 964012762108 1205015952635 1314562857420 1446019143162 1533656666990 1687022333689 1840388000388 2300485000485 2410031905270 2892038286324 3067313333980 3374044667378 3615047857905 4600970000970 4820063810540 5061067001067 6748089334756 7230095715810 8435111668445 9201940001940 10122134002134 14460191431620 16870223336890 20244268004268 25305335005335 33740446673780 50610670010670 101221340021340