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1022120110020 = 2235239138151613
BaseRepresentation
bin11101101111110110001…
…10110010011111000100
310121201021022022102221010
432313323012302133010
5113221300222010040
62101315553122220
7133563042404502
oct16677306623704
93551238272833
101022120110020
1136452a178a59
12146115b59370
1375501c82839
1437684131672
151b8c36bce80
hexedfb1b27c4

1022120110020 has 96 divisors (see below), whose sum is σ = 2876047695360. Its totient is φ = 271223124480.

The previous prime is 1022120110003. The next prime is 1022120110027. The reversal of 1022120110020 is 200110212201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022120109978 and 1022120110005.

It is not an unprimeable number, because it can be changed into a prime (1022120110027) 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, 19777734 + ... + 19829346.

It is an arithmetic number, because the mean of its divisors is an integer number (29958830160).

Almost surely, 21022120110020 is an apocalyptic number.

1022120110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022120110020 is an abundant number, since it is smaller than the sum of its proper divisors (1853927585340).

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

1022120110020 is a wasteful number, since it uses less digits than its factorization.

1022120110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53245 (or 53243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022120110020 its reverse (200110212201), we get a palindrome (1222230322221).

The spelling of 1022120110020 in words is "one trillion, twenty-two billion, one hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1381 1434 2390 2762 2868 3585 4143 4780 5524 6905 7170 8286 13810 14340 16572 20715 27620 41430 51613 82860 103226 154839 206452 258065 309678 330059 516130 619356 660118 774195 990177 1032260 1320236 1548390 1650295 1980354 3096780 3300590 3960708 4950885 6601180 9901770 12335507 19803540 24671014 37006521 49342028 61677535 71277553 74013042 123355070 142555106 148026084 185032605 213832659 246710140 285110212 356387765 370065210 427665318 712775530 740130420 855330636 1069163295 1425551060 2138326590 4276653180 17035335167 34070670334 51106005501 68141340668 85176675835 102212011002 170353351670 204424022004 255530027505 340706703340 511060055010 1022120110020