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101330201012020 = 225471031765759273
BaseRepresentation
bin10111000010100011000110…
…101000101110011100110100
3111021210001221221012100112121
4113002203012220232130310
5101240143222424341040
6555302241322525324
730225602562163441
oct2702430650563464
9437701857170477
10101330201012020
112a317995886732
12b44657b366844
1344705211552a6
141b0459d3ac9c8
15baac6ecc7c4a
hex5c28c6a2e734

101330201012020 has 96 divisors (see below), whose sum is σ = 219446983461888. Its totient is φ = 39281665431552.

The previous prime is 101330201012011. The next prime is 101330201012021. The reversal of 101330201012020 is 20210102033101.

It is a junction number, because it is equal to n+sod(n) for n = 101330201011985 and 101330201012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330201012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709521104 + ... + 1709580376.

It is an arithmetic number, because the mean of its divisors is an integer number (2285906077728).

Almost surely, 2101330201012020 is an apocalyptic number.

101330201012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101330201012020 is an abundant number, since it is smaller than the sum of its proper divisors (118116782449868).

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

101330201012020 is a wasteful number, since it uses less digits than its factorization.

101330201012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77089 (or 77087 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101330201012020 its reverse (20210102033101), we get a palindrome (121540303045121).

The spelling of 101330201012020 in words is "one hundred one trillion, three hundred thirty billion, two hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 103 188 206 235 412 470 515 940 1030 2060 4841 9682 17657 19364 24205 35314 48410 59273 70628 88285 96820 118546 176570 237092 296365 353140 592730 829879 1185460 1659758 1818671 2785831 3319516 3637342 4149395 5571662 6105119 7274684 8298790 9093355 11143324 12210238 13929155 16597580 18186710 24420476 27858310 30525595 36373420 55716620 61051190 85477537 122102380 170955074 286940593 341910148 427387685 573881186 854775370 1046583361 1147762372 1434702965 1709550740 2093166722 2869405930 4186333444 5232916805 5738811860 10465833610 20931667220 49189417967 98378835934 107798086183 196757671868 215596172366 245947089835 431192344732 491894179670 538990430915 983788359340 1077980861830 2155961723660 5066510050601 10133020101202 20266040202404 25332550253005 50665100506010 101330201012020