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21202202120 = 23511178533323
BaseRepresentation
bin10011101111101111…
…111110111000001000
32000201121200110112012
4103233233332320020
5321410230431440
613423512435052
71350260513231
oct235757767010
960647613465
1021202202120
118aa00aa2a0
1241386a8a88
131ccb790538
141051c2a088
1584158de65
hex4efbfee08

21202202120 has 128 divisors (see below), whose sum is σ = 55184250240. Its totient is φ = 7245680640.

The previous prime is 21202202113. The next prime is 21202202129. The reversal of 21202202120 is 2120220212.

It is a junction number, because it is equal to n+sod(n) for n = 21202202095 and 21202202104.

It is not an unprimeable number, because it can be changed into a prime (21202202129) 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, 6378779 + ... + 6382101.

It is an arithmetic number, because the mean of its divisors is an integer number (431126955).

Almost surely, 221202202120 is an apocalyptic number.

21202202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27592125120).

21202202120 is an abundant number, since it is smaller than the sum of its proper divisors (33982048120).

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

21202202120 is a wasteful number, since it uses less digits than its factorization.

21202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21202202120 its reverse (2120220212), we get a palindrome (23322422332).

It can be divided in two parts, 21202 and 202120, that added together give a palindrome (223322).

The spelling of 21202202120 in words is "twenty-one billion, two hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 853 935 1496 1706 1870 3323 3412 3740 4265 6646 6824 7480 8530 9383 13292 14501 16615 17060 18766 26584 29002 33230 34120 36553 37532 46915 56491 58004 66460 72505 73106 75064 93830 112982 116008 132920 145010 146212 159511 182765 187660 225964 282455 290020 292424 319022 365530 375320 451928 564910 580040 621401 638044 731060 797555 1129820 1242802 1276088 1462120 1595110 2259640 2485604 2834519 3107005 3190220 4971208 5669038 6214010 6380440 11338076 12428020 14172595 22676152 24856040 28345190 31179709 48186823 56690380 62359418 96373646 113380760 124718836 155898545 192747292 240934115 249437672 311797090 385494584 481868230 530055053 623594180 963736460 1060110106 1247188360 1927472920 2120220212 2650275265 4240440424 5300550530 10601101060 21202202120