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201121110111020 = 225114012279767741
BaseRepresentation
bin101101101110101100101000…
…010100110011001100101100
3222101002222201222002120120212
4231232230220110303030230
5202330132013142023040
61551425432410001552
760235343412113321
oct5556545024631454
9871088658076525
10201121110111020
11590a0a90494190
121a682750a162b8
13882b8407229b8
1437944569c4b48
15183b94ce8cd65
hexb6eb2853332c

201121110111020 has 48 divisors (see below), whose sum is σ = 461899182671136. Its totient is φ = 72952567680000.

The previous prime is 201121110110993. The next prime is 201121110111041. The reversal of 201121110111020 is 20111011121102.

201121110111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201121110110986 and 201121110111004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139795651 + ... + 1139972090.

It is an arithmetic number, because the mean of its divisors is an integer number (9622899638982).

Almost surely, 2201121110111020 is an apocalyptic number.

201121110111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121110111020 is an abundant number, since it is smaller than the sum of its proper divisors (260778072560116).

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

201121110111020 is a wasteful number, since it uses less digits than its factorization.

201121110111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279768162 (or 2279768160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201121110111020 its reverse (20111011121102), we get a palindrome (221232121232122).

The spelling of 201121110111020 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 4010 4411 8020 8822 17644 22055 44110 88220 2279767741 4559535482 9119070964 11398838705 22797677410 25077445151 45595354820 50154890302 100309780604 125387225755 250774451510 501548903020 914186864141 1828373728282 3656747456564 4570934320705 9141868641410 10056055505551 18283737282820 20112111011102 40224222022204 50280277527755 100560555055510 201121110111020