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11122002221022 = 23371117157343777
BaseRepresentation
bin1010000111011000101011…
…1111011101011111011110
31110101020211110100122201000
42201312022333131133132
52424210330032033042
635353213254331130
72225352404020650
oct241661277353736
943336743318630
1011122002221022
1135a88a6338350
1212b7628059aa6
13628a53382694
142a64447946d0
1514449731074c
hexa1d8afdd7de

11122002221022 has 128 divisors (see below), whose sum is σ = 32626805806080. Its totient is φ = 2718900449280.

The previous prime is 11122002220991. The next prime is 11122002221053. The reversal of 11122002221022 is 22012220022111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11122002220991) and next prime (11122002221053).

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 = 11122002220986 and 11122002221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78601203 + ... + 78742574.

It is an arithmetic number, because the mean of its divisors is an integer number (254896920360).

Almost surely, 211122002221022 is an apocalyptic number.

11122002221022 is an abundant number, since it is smaller than the sum of its proper divisors (21504803585058).

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

11122002221022 is a wasteful number, since it uses less digits than its factorization.

11122002221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157343823 (or 157343817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11122002221022 its reverse (22012220022111), we get a palindrome (33134222243133).

Subtracting 11122002221022 from its reverse (22012220022111), we obtain a square (10890217801089 = 33000332).

The spelling of 11122002221022 in words is "eleven trillion, one hundred twenty-two billion, two million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 153 154 187 189 198 231 238 297 306 357 374 378 459 462 561 594 693 714 918 1071 1122 1309 1386 1683 2079 2142 2618 3213 3366 3927 4158 5049 6426 7854 10098 11781 23562 35343 70686 157343777 314687554 472031331 944062662 1101406439 1416093993 1730781547 2202812878 2674844209 2832187986 3304219317 3461563094 4248281979 5192344641 5349688418 6608438634 8024532627 8496563958 9912657951 10384689282 12115470829 15577033923 16049065254 18723909463 19825315902 24073597881 24230941658 29423286299 29737973853 31154067846 36346412487 37447818926 46731101769 48147195762 56171728389 58846572598 59475947706 72220793643 72692824974 88269858897 93462203538 109039237461 112343456778 144441587286 168515185167 176539717794 205963004093 218078474922 264809576691 327117712383 337030370334 411926008186 505545555501 529619153382 617889012279 654235424766 794428730073 1011091111002 1235778024558 1588857460146 1853667036837 3707334073674 5561001110511 11122002221022