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21121220000001 = 31171193306115259
BaseRepresentation
bin1001100110101101010101…
…10100001011100100000001
32202210011120010200222000110
410303112222310023210001
510232022224310000001
6112530542101541533
74306646343540432
oct463265264134401
982704503628013
1021121220000001
116803506074110
122451525a148a9
13ba2951441514
145303b5a65489
1526962873e3d6
hex1335aad0b901

21121220000001 has 64 divisors (see below), whose sum is σ = 31328181319680. Its totient is φ = 12550132224000.

The previous prime is 21121219999963. The next prime is 21121220000003. The reversal of 21121220000001 is 10000002212112.

It is not a de Polignac number, because 21121220000001 - 26 = 21121219999937 is a prime.

It is a super-2 number, since 2×211212200000012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121220000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1384173510 + ... + 1384188768.

It is an arithmetic number, because the mean of its divisors is an integer number (489502833120).

Almost surely, 221121220000001 is an apocalyptic number.

It is an amenable number.

21121220000001 is a deficient number, since it is larger than the sum of its proper divisors (10206961319679).

21121220000001 is a wasteful number, since it uses less digits than its factorization.

21121220000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18598.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121220000001 its reverse (10000002212112), we get a palindrome (31121222212113).

The spelling of 21121220000001 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, one", and thus it is an aban number.

Divisors: 1 3 11 33 71 193 213 579 781 2123 2343 3061 6369 9183 13703 15259 33671 41109 45777 101013 150733 167849 217331 452199 503547 590773 651993 1083389 1772319 2390641 2944987 3250167 6498503 7171923 8834961 11917279 19495509 32394857 35751837 41944883 46707799 97184571 125834649 140123397 209094077 461393713 513785789 627282231 1384181139 1541357367 2300034847 3316253729 6900104541 9014605207 9948761187 27043815621 36478791019 99160657277 109436373057 297481971831 640036969697 1920110909091 7040406666667 21121220000001