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1220041510420 = 2255310910939661
BaseRepresentation
bin10001110000010000001…
…001000000111000010100
311022122010210100022211011
4101300100021000320110
5124442121111313140
62332251311422004
7154100523505405
oct21602011007024
94278123308734
101220041510420
11430464698547
12178551524904
138b084767805
144309c1379ac
1521b09405cea
hex11c10240e14

1220041510420 has 96 divisors (see below), whose sum is σ = 2637060481440. Its totient is φ = 473932892160.

The previous prime is 1220041510351. The next prime is 1220041510421. The reversal of 1220041510420 is 240151400221.

It can be written as a sum of positive squares in 16 ways, for example, as 107476442896 + 1112565067524 = 327836^2 + 1054782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1220041510391 and 1220041510400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220041510421) 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, 126280390 + ... + 126290050.

It is an arithmetic number, because the mean of its divisors is an integer number (27469380015).

Almost surely, 21220041510420 is an apocalyptic number.

1220041510420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220041510420 is an abundant number, since it is smaller than the sum of its proper divisors (1417018971020).

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

1220041510420 is a wasteful number, since it uses less digits than its factorization.

1220041510420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1220041510420 its reverse (240151400221), we get a palindrome (1460192910641).

The spelling of 1220041510420 in words is "one trillion, two hundred twenty billion, forty-one million, five hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 109 212 218 265 436 530 545 1060 1090 1093 2180 2186 4372 5465 5777 9661 10930 11554 19322 21860 23108 28885 38644 48305 57770 57929 96610 115540 115858 119137 193220 231716 238274 289645 476548 512033 579290 595685 1024066 1053049 1158580 1191370 2048132 2106098 2382740 2560165 4212196 5120330 5265245 6314261 10240660 10530490 10559473 12628522 21060980 21118946 25257044 31571305 42237892 52797365 55811597 63142610 105594730 111623194 126285220 211189460 223246388 279057985 558115970 559652069 1116231940 1119304138 1150982557 2238608276 2301965114 2798260345 4603930228 5596520690 5754912785 11193041380 11509825570 23019651140 61002075521 122004151042 244008302084 305010377605 610020755210 1220041510420