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101201002020 = 22335613072283
BaseRepresentation
bin101111001000000001…
…1001011111000100100
3100200012212112120022000
41132100003023320210
53124224424031040
6114254024405300
710211566216056
oct1362003137044
9320185476260
10101201002020
1139a12366758
1217744016830
13970a595021
144c807718d6
1529748c2130
hex17900cbe24

101201002020 has 96 divisors (see below), whose sum is σ = 320009101440. Its totient is φ = 26544516480.

The previous prime is 101201001977. The next prime is 101201002037. The reversal of 101201002020 is 20200102101.

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 = 101201001993 and 101201002011.

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, 1503202 + ... + 1569081.

It is an arithmetic number, because the mean of its divisors is an integer number (3333428140).

Almost surely, 2101201002020 is an apocalyptic number.

101201002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201002020 is an abundant number, since it is smaller than the sum of its proper divisors (218808099420).

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

101201002020 is a wasteful number, since it uses less digits than its factorization.

101201002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072362 (or 3072354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101201002020 its reverse (20200102101), we get a palindrome (121401104121).

The spelling of 101201002020 in words is "one hundred one billion, two hundred one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 3072283 6144566 9216849 12289132 15361415 18433698 27650547 30722830 36867396 46084245 55301094 61445660 82951641 92168490 110602188 138252735 165903282 184336980 187409263 276505470 331806564 374818526 414758205 553010940 562227789 749637052 829516410 937046315 1124455578 1659032820 1686683367 1874092630 2248911156 2811138945 3373366734 3748185260 5060050101 5622277890 6746733468 8433416835 10120100202 11244555780 16866833670 20240200404 25300250505 33733667340 50600501010 101201002020