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1220100002001 = 331719379419881
BaseRepresentation
bin10001110000010011101…
…000001001000011010001
311022122021212102000012000
4101300103220021003101
5124442231100031001
62332301201224213
7154102133620656
oct21602350110321
94278255360160
101220100002001
114304947090a1
12178569032069
138b09390700a
14430a5c01c2d
1521b0e60ba86
hex11c13a090d1

1220100002001 has 128 divisors (see below), whose sum is σ = 2027047680000. Its totient is φ = 720801607680.

The previous prime is 1220100001987. The next prime is 1220100002083. The reversal of 1220100002001 is 1002000010221.

It is not a de Polignac number, because 1220100002001 - 26 = 1220100001937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1220100002501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1384903081 + ... + 1384903961.

It is an arithmetic number, because the mean of its divisors is an integer number (15836310000).

Almost surely, 21220100002001 is an apocalyptic number.

It is an amenable number.

1220100002001 is a deficient number, since it is larger than the sum of its proper divisors (806947677999).

1220100002001 is a wasteful number, since it uses less digits than its factorization.

1220100002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1220100002001 its reverse (1002000010221), we get a palindrome (2222100012222).

The spelling of 1220100002001 in words is "one trillion, two hundred twenty billion, one hundred million, two thousand, one".

Divisors: 1 3 9 17 19 27 51 57 153 171 323 379 419 459 513 881 969 1137 1257 2643 2907 3411 3771 6443 7123 7201 7929 7961 8721 10233 11313 14977 16739 19329 21369 21603 23787 23883 44931 50217 57987 64107 64809 71649 122417 134793 135337 150651 158801 173961 192321 194427 214947 284563 333899 367251 369139 404379 406011 451953 476403 853689 1001697 1101753 1107417 1218033 1429209 2561067 2699617 3005091 3017219 3305259 3322251 3654099 4287627 5676283 6275363 6344081 7013641 7683201 8098851 9015273 9051657 9966753 17028849 18826089 19032243 21040923 24296553 27154971 51086547 51292723 56478267 57096729 63122769 72889659 81464913 107849377 119231897 139903681 153259641 153878169 169434801 171290187 189368307 323548131 357695691 419711043 461634507 970644393 1073087073 1259133129 1384903521 2378362577 2658169939 2911933179 3219261219 3777399387 7135087731 7974509817 21405263193 23923529451 45188888963 64215789579 71770588353 135566666889 406700000667 1220100002001