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220001000100 = 223527176162493
BaseRepresentation
bin1100110011100100010…
…1001101101010100100
3210000212020200202121220
43030321011031222210
512101030224000400
6245022252540340
721615554434440
oct3147105155244
9700766622556
10220001000100
1185335913652
1236779a816b0
1317990c8708b
14a910587820
155ac933b7a0
hex333914daa4

220001000100 has 144 divisors (see below), whose sum is σ = 770262450048. Its totient is φ = 47327938560.

The previous prime is 220001000099. The next prime is 220001000113. The reversal of 220001000100 is 1000100022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

220001000100 is a modest number, since divided by 1000100 gives 2200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3045547 + ... + 3116946.

It is an arithmetic number, because the mean of its divisors is an integer number (5349044792).

Almost surely, 2220001000100 is an apocalyptic number.

220001000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001000100 is an abundant number, since it is smaller than the sum of its proper divisors (550261449948).

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

220001000100 is a wasteful number, since it uses less digits than its factorization.

220001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162534 (or 6162527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 220001000100 its reverse (1000100022), we get a palindrome (221001100122).

The spelling of 220001000100 in words is "two hundred twenty billion, one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 6162493 12324986 18487479 24649972 30812465 36974958 43137451 61624930 73949916 86274902 92437395 104762381 123249860 129412353 154062325 172549804 184874790 209524762 215687255 258824706 308124650 314287143 369749580 419049524 431374510 462186975 517649412 523811905 616249300 628574286 647061765 733336667 862749020 924373950 1047623810 1078436275 1257148572 1294123530 1466673334 1571435715 1848747900 2095247620 2156872550 2200010001 2588247060 2619059525 2933346668 3142871430 3235308825 3666683335 4313745100 4400020002 5238119050 6285742860 6470617650 7333366670 7857178575 8800040004 10476238100 11000050005 12941235300 14666733340 15714357150 18333416675 22000100010 31428714300 36666833350 44000200020 55000250025 73333666700 110000500050 220001000100