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211220131122 = 2327111311722729
BaseRepresentation
bin1100010010110110110…
…0110110110100110010
3202012012021221101212100
43010231230312310302
511430034323143442
6241011100241230
721155142330360
oct3045554666462
9665167841770
10211220131122
118163a291840
1234b29240216
1316bc1a2bb10
14a31a2d4630
1557634e784c
hex312db36d32

211220131122 has 96 divisors (see below), whose sum is σ = 614458615680. Its totient is φ = 50642184960.

The previous prime is 211220131117. The next prime is 211220131159. The reversal of 211220131122 is 221131022112.

It is a super-2 number, since 2×2112201311222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211220131095 and 211220131104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5843347 + ... + 5879382.

It is an arithmetic number, because the mean of its divisors is an integer number (6400610580).

Almost surely, 2211220131122 is an apocalyptic number.

211220131122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211220131122 is an abundant number, since it is smaller than the sum of its proper divisors (403238484558).

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

211220131122 is a wasteful number, since it uses less digits than its factorization.

211220131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722768 (or 11722765 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211220131122 its reverse (221131022112), we get a palindrome (432351153234).

The spelling of 211220131122 in words is "two hundred eleven billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 11722729 23445458 35168187 70336374 82059103 105504561 128950019 152395477 164118206 211009122 246177309 257900038 304790954 386850057 457186431 492354618 738531927 773700114 902650133 914372862 1066768339 1160550171 1371559293 1477063854 1676350247 1805300266 2133536678 2321100342 2707950399 2743118586 3200305017 3352700494 5029050741 5415900798 6400610034 8123851197 9600915051 10058101482 11734451729 15087152223 16247702394 19201830102 23468903458 30174304446 35203355187 70406710374 105610065561 211220131122