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11022220101123 = 3271131237943669
BaseRepresentation
bin1010000001100100111110…
…0000111000011000000011
31110000201021110200202202200
42200121033200320120003
52421042001321213443
635235312113244243
72215220614006260
oct240311740703003
943021243622680
1011022220101123
11356a551997850
1212a021b263683
1361c510a4a79a
142a169a64c267
15141aa72b2dd3
hexa064f838603

11022220101123 has 144 divisors (see below), whose sum is σ = 20565090374400. Its totient is φ = 5526377539200.

The previous prime is 11022220101107. The next prime is 11022220101259. The reversal of 11022220101123 is 32110102222011.

It is not a de Polignac number, because 11022220101123 - 24 = 11022220101107 is a prime.

It is a super-2 number, since 2×110222201011232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022220101096 and 11022220101105.

It is not an unprimeable number, because it can be changed into a prime (11022220101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252381933 + ... + 252425601.

It is an arithmetic number, because the mean of its divisors is an integer number (142813127600).

Almost surely, 211022220101123 is an apocalyptic number.

11022220101123 is a deficient number, since it is larger than the sum of its proper divisors (9542870273277).

11022220101123 is a wasteful number, since it uses less digits than its factorization.

11022220101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44134 (or 44100 counting only the distinct ones).

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

Adding to 11022220101123 its reverse (32110102222011), we get a palindrome (43132322323134).

The spelling of 11022220101123 in words is "eleven trillion, twenty-two billion, two hundred twenty million, one hundred one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 379 651 693 961 1023 1137 1953 2387 2653 2883 3069 3411 4169 6727 7161 7959 8649 10571 11749 12507 20181 21483 23877 29183 31713 35247 37521 43669 60543 73997 82243 87549 95139 105741 129239 131007 221991 246729 262647 305683 364219 387717 393021 480359 665973 740187 904673 917049 1092657 1163151 1353739 1441077 2549533 2714019 2751147 3277971 3362513 4006409 4061217 4323231 7648599 8142057 9476173 10087539 12019227 12183651 14891129 16550551 22945797 28044863 28428519 30262617 36057681 41965909 44673387 49651653 84134589 85285557 104237903 115853857 125897727 134020161 148954959 182056061 252403767 293761363 312713709 347561571 377693181 461624999 513067081 546168183 881284089 938141127 1042684713 1274392427 1384874997 1539201243 1638504549 2643852267 3231374993 3591469567 3823177281 4154624991 4617603729 5643737891 9694124979 10774408701 11469531843 15905079511 16931213673 29082374937 32323226103 39506165237 47715238533 50793641019 111335556577 118518495711 143145715599 174955874621 334006669731 355555487133 524867623863 1002020009193 1224691122347 1574602871589 3674073367041 11022220101123