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100021202022220 = 225127439829108203
BaseRepresentation
bin10110101111100000000000…
…001101110110111101001100
3111010010221012112122212000221
4112233200000031312331030
5101102221410204202340
6552421034511401124
730032202425306143
oct2657400015667514
9433127175585027
10100021202022220
1129962831aa3296
12b2749422231a4
1343a6c6087261b
141a9b0a29d275a
15b86baad2544a
hex5af800376f4c

100021202022220 has 96 divisors (see below), whose sum is σ = 212438557900800. Its totient is φ = 39554897889024.

The previous prime is 100021202022211. The next prime is 100021202022223. The reversal of 100021202022220 is 22220202120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021202022194 and 100021202022203.

It is not an unprimeable number, because it can be changed into a prime (100021202022223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924330639 + ... + 924438841.

It is an arithmetic number, because the mean of its divisors is an integer number (2212901644800).

Almost surely, 2100021202022220 is an apocalyptic number.

100021202022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021202022220 is an abundant number, since it is smaller than the sum of its proper divisors (112417355878580).

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

100021202022220 is a wasteful number, since it uses less digits than its factorization.

100021202022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109607 (or 109605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100021202022220 its reverse (22220202120001), we get a palindrome (122241404142221).

The spelling of 100021202022220 in words is "one hundred trillion, twenty-one billion, two hundred two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 127 254 439 508 635 829 878 1270 1658 1756 2195 2540 3316 4145 4390 8290 8780 16580 55753 105283 108203 111506 210566 216406 223012 278765 363931 421132 432812 526415 541015 557530 727862 1052830 1082030 1115060 1455724 1819655 2105660 2164060 3639310 7278620 13741781 27483562 46219237 47501117 54967124 68708905 89700287 92438474 95002234 137417810 179400574 184876948 190004468 231096185 237505585 274835620 358801148 448501435 462192370 475011170 897002870 924384740 950022340 1794005740 6032641859 11391936449 12065283718 22783872898 24130567436 30163209295 39378425993 45567745796 56959682245 60326418590 78756851986 113919364490 120652837180 157513703972 196892129965 227838728980 393784259930 787568519860 5001060101111 10002120202222 20004240404444 25005300505555 50010601011110 100021202022220