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220001211112122 = 232113773411372539
BaseRepresentation
bin110010000001011100000110…
…000010011101101010111010
31001211221220120200000102201200
4302001130012002131222322
5212313444440021041442
62055523054445555030
764224364046535516
oct6201340602355272
91054856520012650
10220001211112122
116410aa982868a0
1220811860575a76
13959b043457bbb
143c48188a65146
151a67b0a40834c
hexc8170609daba

220001211112122 has 96 divisors (see below), whose sum is σ = 541372844600640. Its totient is φ = 63976657109760.

The previous prime is 220001211112099. The next prime is 220001211112171. The reversal of 220001211112122 is 221211112100022.

220001211112122 is a `hidden beast` number, since 220 + 0 + 0 + 1 + 211 + 112 + 122 = 666.

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 = 220001211112095 and 220001211112104.

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, 205151472 + ... + 206221067.

It is an arithmetic number, because the mean of its divisors is an integer number (5639300464590).

Almost surely, 2220001211112122 is an apocalyptic number.

220001211112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220001211112122 is an abundant number, since it is smaller than the sum of its proper divisors (321371633488518).

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

220001211112122 is a wasteful number, since it uses less digits than its factorization.

220001211112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411372668 (or 411372665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220001211112122 its reverse (221211112100022), we get a palindrome (441212323212144).

The spelling of 220001211112122 in words is "two hundred twenty trillion, one billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 73 74 99 111 146 198 219 222 333 407 438 657 666 803 814 1221 1314 1606 2409 2442 2701 3663 4818 5402 7227 7326 8103 14454 16206 24309 29711 48618 59422 89133 178266 267399 534798 411372539 822745078 1234117617 2468235234 3702352851 4525097929 7404705702 9050195858 13575293787 15220783943 27150587574 30030195347 30441567886 40725881361 45662351829 60060390694 81451762722 90090586041 91324703658 136987055487 167428623373 180181172082 270271758123 273974110974 330332148817 334857246746 502285870119 540543516246 660664297634 990996446451 1004571740238 1111117227839 1506857610357 1981992892902 2222234455678 2972989339353 3013715220714 3333351683517 5945978678706 6666703367034 10000055050551 12222289506229 20000110101102 24444579012458 36666868518687 73333737037374 110000605556061 220001211112122