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1220110020020 = 2252347285719753
BaseRepresentation
bin10001110000010100001…
…110010110110110110100
311022122022120020222022202
4101300110032112312310
5124442241131120040
62332302200044032
7154102315024013
oct21602416266664
94278276228282
101220110020020
1143049a330851
12178570463618
138b095a03b38
14430a728ca7a
1521b1043a015
hex11c14396db4

1220110020020 has 96 divisors (see below), whose sum is σ = 2731612197888. Its totient is φ = 456709220352.

The previous prime is 1220110019987. The next prime is 1220110020029. The reversal of 1220110020020 is 200200110221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220110019983 and 1220110020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220110020029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61758464 + ... + 61778216.

It is an arithmetic number, because the mean of its divisors is an integer number (28454293728).

Almost surely, 21220110020020 is an apocalyptic number.

1220110020020 is a gapful number since it is divisible by the number (10) 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 1220110020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365806098944).

1220110020020 is an abundant number, since it is smaller than the sum of its proper divisors (1511502177868).

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

1220110020020 is a wasteful number, since it uses less digits than its factorization.

1220110020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22689 (or 22687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1220110020020 its reverse (200200110221), we get a palindrome (1420310130241).

The spelling of 1220110020020 in words is "one trillion, two hundred twenty billion, one hundred ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 2857 4324 5405 5714 10810 11428 14285 19753 21620 28570 39506 57140 65711 79012 98765 131422 134279 197530 262844 268558 328555 395060 454319 537116 657110 671395 908638 928391 1314220 1342790 1817276 1856782 2271595 2685580 3088417 3713564 4543190 4641955 6176834 9086380 9283910 12353668 15442085 18567820 21352993 30884170 42705986 56434321 61768340 85411972 106764965 112868642 213529930 225737284 282171605 427059860 564343210 1128686420 1297989383 2595978766 2652413087 5191957532 5304826174 6489946915 10609652348 12979893830 13262065435 25959787660 26524130870 53048261740 61005501001 122011002002 244022004004 305027505005 610055010010 1220110020020