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21222022022120 = 23519377310338287
BaseRepresentation
bin1001101001101001000110…
…00101011000001111101000
32210010210202012111020210002
410310310203011120033220
510240200200114201440
6113045132355042132
74320145326564023
oct464644305301750
983123665436702
1021222022022120
1168422331a1307
122468b782a0348
13bac2c716135a
1453521941a1ba
1526c0780a0115
hex134d231583e8

21222022022120 has 128 divisors (see below), whose sum is σ = 52328278540800. Its totient is φ = 7717489145856.

The previous prime is 21222022022077. The next prime is 21222022022147. The reversal of 21222022022120 is 2122022022212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21222022022092 and 21222022022101.

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, 3116384 + ... + 7221903.

It is an arithmetic number, because the mean of its divisors is an integer number (408814676100).

Almost surely, 221222022022120 is an apocalyptic number.

21222022022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222022022120 is an abundant number, since it is smaller than the sum of its proper divisors (31106256518680).

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

21222022022120 is a wasteful number, since it uses less digits than its factorization.

21222022022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338427 (or 10338423 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21222022022120 its reverse (2122022022212), we get a palindrome (23344044044332).

The spelling of 21222022022120 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 73 74 76 95 146 148 152 185 190 292 296 365 370 380 584 703 730 740 760 1387 1406 1460 1480 2701 2774 2812 2920 3515 5402 5548 5624 6935 7030 10804 11096 13505 13870 14060 21608 27010 27740 28120 51319 54020 55480 102638 108040 205276 256595 410552 513190 1026380 2052760 10338287 20676574 41353148 51691435 82706296 103382870 196427453 206765740 382516619 392854906 413531480 754694951 765033238 785709812 982137265 1509389902 1530066476 1571419624 1912583095 1964274530 3018779804 3060132952 3773474755 3825166190 3928549060 6037559608 7267815761 7546949510 7650332380 7857098120 14339204069 14535631522 15093899020 15300664760 27923713187 28678408138 29071263044 30187798040 36339078805 55847426374 57356816276 58142526088 71696020345 72678157610 111694852748 114713632552 139618565935 143392040690 145356315220 223389705496 279237131870 286784081380 290712630440 530550550553 558474263740 573568162760 1061101101106 1116948527480 2122202202212 2652752752765 4244404404424 5305505505530 10611011011060 21222022022120