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100002022020 = 223257964310937
BaseRepresentation
bin101110100100010010…
…1011100001010000100
3100120010022110001221100
41131020211130022010
53114301004201040
6113535034220100
710140100106415
oct1351045341204
9316108401840
10100002022020
113945759729a
121746a584630
139579069bc4
144ba942980c
1529044d8b30
hex174895c284

100002022020 has 144 divisors (see below), whose sum is σ = 307685064960. Its totient is φ = 26286294528.

The previous prime is 100002022019. The next prime is 100002022027. The reversal of 100002022020 is 20220200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100002021993 and 100002022011.

It is not an unprimeable number, because it can be changed into a prime (100002022027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9137992 + ... + 9148928.

It is an arithmetic number, because the mean of its divisors is an integer number (2136701840).

Almost surely, 2100002022020 is an apocalyptic number.

100002022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100002022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153842532480).

100002022020 is an abundant number, since it is smaller than the sum of its proper divisors (207683042940).

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

100002022020 is a wasteful number, since it uses less digits than its factorization.

100002022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100002022020 its reverse (20220200001), we get a palindrome (120222222021).

The spelling of 100002022020 in words is "one hundred billion, two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 643 711 790 948 1185 1286 1422 1580 1929 2370 2572 2844 3215 3555 3858 4740 5787 6430 7110 7716 9645 10937 11574 12860 14220 19290 21874 23148 28935 32811 38580 43748 50797 54685 57870 65622 98433 101594 109370 115740 131244 152391 164055 196866 203188 218740 253985 304782 328110 393732 457173 492165 507970 609564 656220 761955 864023 914346 984330 1015940 1523910 1728046 1828692 1968660 2285865 2592069 3047820 3456092 4320115 4571730 5184138 7032491 7776207 8640230 9143460 10368276 12960345 14064982 15552414 17280460 21097473 25920690 28129964 31104828 35162455 38881035 42194946 51841380 63292419 70324910 77762070 84389892 105487365 126584838 140649820 155524140 210974730 253169676 316462095 421949460 555566789 632924190 1111133578 1265848380 1666700367 2222267156 2777833945 3333400734 5000101101 5555667890 6666801468 8333501835 10000202202 11111335780 16667003670 20000404404 25000505505 33334007340 50001011010 100002022020