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221022112120 = 235149199331563
BaseRepresentation
bin1100110111010111110…
…0011100100101111000
3210010111102002121222121
43031311330130211320
512110123130041440
6245311450531024
721653063645425
oct3156574344570
9703442077877
10221022112120
118580a247187
1236a03a36a74
1317ac46a6884
14a9aa02cd4c
155b38cdd34a
hex3375f1c978

221022112120 has 128 divisors (see below), whose sum is σ = 505569600000. Its totient is φ = 86955517440.

The previous prime is 221022112109. The next prime is 221022112139. The reversal of 221022112120 is 21211220122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221022112094 and 221022112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392578959 + ... + 392579521.

It is an arithmetic number, because the mean of its divisors is an integer number (3949762500).

Almost surely, 2221022112120 is an apocalyptic number.

221022112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022112120 is an abundant number, since it is smaller than the sum of its proper divisors (284547487880).

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

221022112120 is a wasteful number, since it uses less digits than its factorization.

221022112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221022112120 its reverse (21211220122), we get a palindrome (242233332242).

The spelling of 221022112120 in words is "two hundred twenty-one billion, twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 199 298 331 398 563 596 662 745 796 995 1126 1192 1324 1490 1592 1655 1990 2252 2648 2815 2980 3310 3980 4504 5630 5960 6620 7960 11260 13240 22520 29651 49319 59302 65869 83887 98638 112037 118604 131738 148255 167774 186353 197276 224074 237208 246595 263476 296510 329345 335548 372706 394552 419435 448148 493190 526952 560185 593020 658690 671096 745412 838870 896296 931765 986380 1120370 1186040 1317380 1490824 1677740 1863530 1972760 2240740 2634760 3355480 3727060 4481480 7454120 9814481 16693513 19628962 27766597 33387026 37084247 39257924 49072405 55533194 66774052 74168494 78515848 83467565 98144810 111066388 133548104 138832985 148336988 166935130 185421235 196289620 222132776 277665970 296673976 333870260 370842470 392579240 555331940 667740520 741684940 1110663880 1483369880 5525552803 11051105606 22102211212 27627764015 44204422424 55255528030 110511056060 221022112120