Search a number
-
+
21110221120120 = 23511193768247191
BaseRepresentation
bin1001100110011000110110…
…01110110010001001111000
32202202010011121100222021221
410303030123032302021320
510231332213101320440
6112521522433441424
74306106646601306
oct463143316621170
982663147328257
1021110221120120
1167a9881530940
12244b376410274
13ba18ba819982
1452da50da7276
152691d2d21d4a
hex13331b3b2278

21110221120120 has 128 divisors (see below), whose sum is σ = 56017295193600. Its totient is φ = 7075868659200.

The previous prime is 21110221120117. The next prime is 21110221120123. The reversal of 21110221120120 is 2102112201112.

It is an interprime number because it is at equal distance from previous prime (21110221120117) and next prime (21110221120123).

It is a junction number, because it is equal to n+sod(n) for n = 21110221120094 and 21110221120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110221120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33814276 + ... + 34432915.

It is an arithmetic number, because the mean of its divisors is an integer number (437635118700).

Almost surely, 221110221120120 is an apocalyptic number.

21110221120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110221120120 is an abundant number, since it is smaller than the sum of its proper divisors (34907074073480).

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

21110221120120 is a wasteful number, since it uses less digits than its factorization.

21110221120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68247269 (or 68247265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21110221120120 its reverse (2102112201112), we get a palindrome (23212333321232).

The spelling of 21110221120120 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 37 38 40 44 55 74 76 88 95 110 148 152 185 190 209 220 296 370 380 407 418 440 703 740 760 814 836 1045 1406 1480 1628 1672 2035 2090 2812 3256 3515 4070 4180 5624 7030 7733 8140 8360 14060 15466 16280 28120 30932 38665 61864 77330 154660 309320 68247191 136494382 272988764 341235955 545977528 682471910 750719101 1296696629 1364943820 1501438202 2525146067 2593393258 2729887640 3002876404 3753595505 5050292134 5186786516 6005752808 6483483145 7507191010 10100584268 10373573032 12625730335 12966966290 14263662919 15014382020 20201168536 25251460670 25933932580 27776606737 28527325838 30028764040 47977775273 50502921340 51867865160 55553213474 57054651676 71318314595 95955550546 101005842680 111106426948 114109303352 138883033685 142636629190 191911101092 222212853896 239888876365 277766067370 285273258380 383822202184 479777752730 527755528003 555532134740 570546516760 959555505460 1055511056006 1111064269480 1919111010920 2111022112012 2638777640015 4222044224024 5277555280030 10555110560060 21110221120120