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21021102022212 = 22351131731106279
BaseRepresentation
bin1001100011110010110110…
…10100011001111001000100
32202102121010202001201200000
410301321123110121321010
510223402204104202322
6112412543322121300
74266503335012365
oct461713324317104
982377122051600
1021021102022212
116774aaa088606
122436044650230
13b96387365446
145295d9093b6c
15266c18e9d3ac
hex131e5b519e44

21021102022212 has 144 divisors (see below), whose sum is σ = 55913745363840. Its totient is φ = 6904873963008.

The previous prime is 21021102022183. The next prime is 21021102022243. The reversal of 21021102022212 is 21222020112012.

It is a happy number.

21021102022212 is a `hidden beast` number, since 210 + 21 + 10 + 202 + 221 + 2 = 666.

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

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, 18448489 + ... + 19554767.

It is an arithmetic number, because the mean of its divisors is an integer number (388289898360).

Almost surely, 221021102022212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021102022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956872681920).

21021102022212 is an abundant number, since it is smaller than the sum of its proper divisors (34892643341628).

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

21021102022212 is a wasteful number, since it uses less digits than its factorization.

21021102022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106584 (or 1106570 counting only the distinct ones).

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

Adding to 21021102022212 its reverse (21222020112012), we get a palindrome (42243122134224).

The spelling of 21021102022212 in words is "twenty-one trillion, twenty-one billion, one hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 173 226 243 324 339 346 452 486 519 678 692 972 1017 1038 1356 1557 2034 2076 3051 3114 4068 4671 6102 6228 9153 9342 12204 14013 18306 18684 19549 27459 28026 36612 39098 42039 54918 56052 58647 78196 84078 109836 117294 168156 175941 234588 351882 527823 703764 1055646 1106279 1583469 2111292 2212558 3166938 3318837 4425116 4750407 6333876 6637674 9500814 9956511 13275348 19001628 19913022 29869533 39826044 59739066 89608599 119478132 125009527 179217198 191386267 250019054 268825797 358434396 375028581 382772534 500038108 537651594 574158801 750057162 765545068 1075303188 1125085743 1148317602 1500114324 1722476403 2250171486 2296635204 3375257229 3444952806 4500342972 5167429209 6750514458 6889905612 10125771687 10334858418 13501028916 15502287627 20251543374 20669716836 21626648171 30377315061 31004575254 40503086748 43253296342 46506862881 60754630122 62009150508 64879944513 86506592684 93013725762 121509260244 129759889026 186027451524 194639833539 259519778052 389279667078 583919500617 778559334156 1167839001234 1751758501851 2335678002468 3503517003702 5255275505553 7007034007404 10510551011106 21021102022212