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10020001002200 = 2352719376691767
BaseRepresentation
bin1001000111001111011010…
…0110011011001011011000
31022110220101002122102211122
42101303312212123023120
52303131430224032300
633151042551544412
72052630652144130
oct221636646331330
938426332572748
1010020001002200
113213505388002
121159b3a08b108
13578b60ac4377
14268d835d5ac0
1512599ad0ac85
hex91cf699b2d8

10020001002200 has 96 divisors (see below), whose sum is σ = 28025867539200. Its totient is φ = 3254616858240.

The previous prime is 10020001002197. The next prime is 10020001002283. The reversal of 10020001002200 is 220010002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 188319284 + ... + 188372483.

It is an arithmetic number, because the mean of its divisors is an integer number (291936120200).

Almost surely, 210020001002200 is an apocalyptic number.

10020001002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020001002200 is an abundant number, since it is smaller than the sum of its proper divisors (18005866537000).

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

10020001002200 is a wasteful number, since it uses less digits than its factorization.

10020001002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376691809 (or 376691800 counting only the distinct ones).

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

Adding to 10020001002200 its reverse (220010002001), we get a palindrome (10240011004201).

The spelling of 10020001002200 in words is "ten trillion, twenty billion, one million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 13300 26600 376691767 753383534 1506767068 1883458835 2636842369 3013534136 3766917670 5273684738 7157143573 7533835340 9417294175 10547369476 13184211845 14314287146 15067670680 18834588350 21094738952 26368423690 28628574292 35785717865 37669176700 50100005011 52736847380 57257148584 65921059225 71571435730 75338353400 100200010022 105473694760 131842118450 143142871460 178928589325 200400020044 250500025055 263684236900 286285742920 357857178650 400800040088 501000050110 527368473800 715714357300 1002000100220 1252500125275 1431428714600 2004000200440 2505000250550 5010000501100 10020001002200