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101020002202020 = 2235111364911214053
BaseRepresentation
bin10110111110000010001101…
…010110001011000110100100
3111020200102021122102002121210
4112332002031112023012210
5101220102431030431040
6554503540501511420
730164311553616126
oct2676021526130644
9436612248362553
10101020002202020
112a208384725540
12b3b642a412570
13444a1b73aa785
141ad3573955216
15ba2b67089480
hex5be08d58b1a4

101020002202020 has 96 divisors (see below), whose sum is σ = 308592823593600. Its totient is φ = 24487901071360.

The previous prime is 101020002201973. The next prime is 101020002202037. The reversal of 101020002202020 is 20202200020101.

101020002202020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010200022020202 (a number of 29 digits) contains 22 as substring.

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 = 101020002201987 and 101020002202005.

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, 3401314 + ... + 14615366.

It is an arithmetic number, because the mean of its divisors is an integer number (3214508579100).

Almost surely, 2101020002202020 is an apocalyptic number.

101020002202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020002202020 is an abundant number, since it is smaller than the sum of its proper divisors (207572821391580).

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

101020002202020 is a wasteful number, since it uses less digits than its factorization.

101020002202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11227725 (or 11227723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101020002202020 its reverse (20202200020101), we get a palindrome (121222202222121).

The spelling of 101020002202020 in words is "one hundred one trillion, twenty billion, two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 13649 27298 40947 54596 68245 81894 136490 150139 163788 204735 272980 300278 409470 450417 600556 750695 818940 900834 1501390 1801668 2252085 3002780 4504170 9008340 11214053 22428106 33642159 44856212 56070265 67284318 112140530 123354583 134568636 168210795 224281060 246709166 336421590 370063749 493418332 616772915 672843180 740127498 1233545830 1480254996 1850318745 2467091660 3700637490 7401274980 153060609397 306121218794 459181828191 612242437588 765303046985 918363656382 1530606093970 1683666703367 1836727312764 2295909140955 3061212187940 3367333406734 4591818281910 5051000110101 6734666813468 8418333516835 9183636563820 10102000220202 16836667033670 20204000440404 25255000550505 33673334067340 50510001101010 101020002202020