Search a number
-
+
10020020100000 = 2535533400067
BaseRepresentation
bin1001000111001111011110…
…1111010001101110100000
31022110220102102120201002120
42101303313233101232200
52303132000121200000
633151044513144240
72052631303364631
oct221636757215640
938426372521076
1010020020100000
113213515141509
121159b4455b080
13578b64a4cc41
14268d85d67888
1512599c82e6a0
hex91cf7bd1ba0

10020020100000 has 144 divisors (see below), whose sum is σ = 32876087733216. Its totient is φ = 2672005280000.

The previous prime is 10020020099977. The next prime is 10020020100017. The reversal of 10020020100000 is 102002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16400034 + ... + 17000033.

It is an arithmetic number, because the mean of its divisors is an integer number (228306164814).

Almost surely, 210020020100000 is an apocalyptic number.

10020020100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020020100000 is an abundant number, since it is smaller than the sum of its proper divisors (22856067633216).

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

10020020100000 is an frugal number, since it uses more digits than its factorization.

10020020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33400105 (or 33400077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10020020100000 its reverse (102002001), we get a palindrome (10020122102001).

The spelling of 10020020100000 in words is "ten trillion, twenty billion, twenty million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 33400067 66800134 100200201 133600268 167000335 200400402 267200536 334000670 400800804 501001005 534401072 668001340 801601608 835001675 1002002010 1068802144 1336002680 1603203216 1670003350 2004004020 2505005025 2672005360 3206406432 3340006700 4008008040 4175008375 5010010050 5344010720 6680013400 8016016080 8350016750 10020020100 12525025125 13360026800 16032032160 16700033500 20040040200 20875041875 25050050250 26720053600 33400067000 40080080400 41750083750 50100100500 62625125625 66800134000 80160160800 83500167500 100200201000 104375209375 125250251250 133600268000 167000335000 200400402000 208750418750 250500502500 313125628125 334000670000 400800804000 417500837500 501001005000 626251256250 668001340000 835001675000 1002002010000 1252502512500 1670003350000 2004004020000 2505005025000 3340006700000 5010010050000 10020020100000