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100020011121 = 3247714317727
BaseRepresentation
bin101110100100110101…
…0000100000001110001
3100120011120022000100100
41131021222010001301
53114320110323441
6113540515543013
710140406031652
oct1351152040161
9316146260310
10100020011121
1139466763818
12174745baa69
13957c9c7c44
144bab98d529
152905d8dcb6
hex1749a84071

100020011121 has 48 divisors (see below), whose sum is σ = 149991948288. Its totient is φ = 64184517600.

The previous prime is 100020011051. The next prime is 100020011123. The reversal of 100020011121 is 121110020001.

It is a happy number.

It is not a de Polignac number, because 100020011121 - 29 = 100020010609 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100020011123) 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, 12940360 + ... + 12948086.

It is an arithmetic number, because the mean of its divisors is an integer number (3124832256).

Almost surely, 2100020011121 is an apocalyptic number.

It is an amenable number.

100020011121 is a deficient number, since it is larger than the sum of its proper divisors (49971937167).

100020011121 is a wasteful number, since it uses less digits than its factorization.

100020011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020011121 its reverse (121110020001), we get a palindrome (221130031122).

The spelling of 100020011121 in words is "one hundred billion, twenty million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 47 71 141 213 423 431 639 1293 3337 3879 7727 10011 20257 23181 30033 30601 60771 69543 91803 182313 275409 363169 548617 1089507 1438247 1645851 3268521 3330337 4314741 4937553 9991011 12944223 25784999 29973033 77354997 156525839 232064991 236453927 469577517 709361781 1408732551 2128085343 11113334569 33340003707 100020011121