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213112032111 = 321131151577797
BaseRepresentation
bin1100011001111001110…
…1111000101101101111
3202101002010212221010100
43012132131320231233
511442423140011421
6241522522242143
721253054245606
oct3063635705557
9671063787110
10213112032111
1182420205a80
1235376956353
1317133988164
14a459690a3d
155824655c26
hex319e778b6f

213112032111 has 96 divisors (see below), whose sum is σ = 349984567296. Its totient is φ = 123793920000.

The previous prime is 213112032101. The next prime is 213112032137. The reversal of 213112032111 is 111230211312.

213112032111 is a `hidden beast` number, since 2 + 1 + 311 + 20 + 321 + 11 = 666.

It is not a de Polignac number, because 213112032111 - 26 = 213112032047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112032101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267392365 + ... + 267393161.

It is an arithmetic number, because the mean of its divisors is an integer number (3645672576).

Almost surely, 2213112032111 is an apocalyptic number.

213112032111 is a deficient number, since it is larger than the sum of its proper divisors (136872535185).

213112032111 is a wasteful number, since it uses less digits than its factorization.

213112032111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213112032111 its reverse (111230211312), we get a palindrome (324342243423).

The spelling of 213112032111 in words is "two hundred thirteen billion, one hundred twelve million, thirty-two thousand, one hundred eleven".

Divisors: 1 3 9 11 31 33 93 99 151 279 341 453 577 797 1023 1359 1661 1731 2391 3069 4681 4983 5193 6347 7173 8767 14043 14949 17887 19041 24707 26301 42129 51491 53661 57123 74121 78903 87127 120347 154473 160983 196757 222363 261381 271777 361041 459869 463419 590271 784143 815331 958397 1083123 1323817 1379607 1770813 2445993 2700937 2875191 3730757 3971451 4138821 5058559 8102811 8625573 11192271 11914353 14255939 15175677 24308433 29710307 33576813 41038327 42767817 45527031 69440219 89130921 123114981 128303451 156815329 208320657 267392763 369344943 470445987 624961971 763842409 1411337961 2152646789 2291527227 6457940367 6874581681 19373821101 23679114679 71037344037 213112032111