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21012112211112 = 23321134776456613
BaseRepresentation
bin1001100011100010000110…
…11110111111110010101000
32202101201221020011000012100
410301301003132333302220
510223230301211223422
6112404455303213400
74266034504615521
oct461610336776250
982351836130170
1021012112211112
116771206616460
122434355a47260
13b95583a419a9
14528dc5171848
1526688eb357ac
hex131c437bfca8

21012112211112 has 96 divisors (see below), whose sum is σ = 62260149912480. Its totient is φ = 6348957060480.

The previous prime is 21012112211099. The next prime is 21012112211113. The reversal of 21012112211112 is 21111221121012.

It is a happy number.

21012112211112 is a `hidden beast` number, since 210 + 1 + 211 + 221 + 11 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21012112211113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37953483 + ... + 38503130.

It is an arithmetic number, because the mean of its divisors is an integer number (648543228255).

Almost surely, 221012112211112 is an apocalyptic number.

21012112211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21012112211112 is an abundant number, since it is smaller than the sum of its proper divisors (41248037701368).

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

21012112211112 is a wasteful number, since it uses less digits than its factorization.

21012112211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76456983 (or 76456976 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21012112211112 its reverse (21111221121012), we get a palindrome (42123333332124).

The spelling of 21012112211112 in words is "twenty-one trillion, twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 347 396 694 792 1041 1388 2082 2776 3123 3817 4164 6246 7634 8328 11451 12492 15268 22902 24984 30536 34353 45804 68706 91608 137412 274824 76456613 152913226 229369839 305826452 458739678 611652904 688109517 841022743 917479356 1376219034 1682045486 1834958712 2523068229 2752438068 3364090972 5046136458 5504876136 6728181944 7569204687 10092272916 15138409374 20184545832 26530444711 30276818748 53060889422 60553637496 79591334133 106121778844 159182668266 212243557688 238774002399 291834891821 318365336532 477548004798 583669783642 636730673064 875504675463 955096009596 1167339567284 1751009350926 1910192019192 2334679134568 2626514026389 3502018701852 5253028052778 7004037403704 10506056105556 21012112211112