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4022011200420 = 22325163137082863
BaseRepresentation
bin111010100001110010100…
…011001000001110100100
3112020111111212122112111100
4322201302203020032210
51011344034331403140
612315404134240100
7563403121061103
oct72416243101644
915214455575440
104022011200420
1113107a85182a4
1254b5ab4b6030
1323237406c795
14dc94879803a
156e94d59c530
hex3a8728c83a4

4022011200420 has 72 divisors (see below), whose sum is σ = 12274947974016. Its totient is φ = 1065956334912.

The previous prime is 4022011200413. The next prime is 4022011200433. The reversal of 4022011200420 is 240021102204.

4022011200420 is a `hidden beast` number, since 4 + 0 + 220 + 1 + 1 + 20 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4022011200393 and 4022011200402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68512092 + ... + 68570771.

It is an arithmetic number, because the mean of its divisors is an integer number (170485388528).

Almost surely, 24022011200420 is an apocalyptic number.

It is an amenable number.

4022011200420 is an abundant number, since it is smaller than the sum of its proper divisors (8252936773596).

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

4022011200420 is a wasteful number, since it uses less digits than its factorization.

4022011200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137083041 (or 137083036 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4022011200420 its reverse (240021102204), we get a palindrome (4262032302624).

The spelling of 4022011200420 in words is "four trillion, twenty-two billion, eleven million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5868 7335 9780 14670 29340 137082863 274165726 411248589 548331452 685414315 822497178 1233745767 1370828630 1644994356 2056242945 2467491534 2741657260 4112485890 4934983068 6168728835 8224971780 12337457670 22344506669 24674915340 44689013338 67033520007 89378026676 111722533345 134067040014 201100560021 223445066690 268134080028 335167600035 402201120042 446890133380 670335200070 804402240084 1005502800105 1340670400140 2011005600210 4022011200420