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10222221121211 = 1124183101271907
BaseRepresentation
bin1001010011000000101111…
…0110111101011010111011
31100012020100011110212002002
42110300023312331122323
52314440102101334321
633424005030531215
72103350111613251
oct224601366753273
940166304425062
1010222221121211
11329124636a500
121191175206b0b
13591c4a06a518
14274a884b05d1
1512ad8412320b
hex94c0bdbd6bb

10222221121211 has 96 divisors (see below), whose sum is σ = 11820480795648. Its totient is φ = 8825889600000.

The previous prime is 10222221121201. The next prime is 10222221121247. The reversal of 10222221121211 is 11212112222201.

It is a de Polignac number, because none of the positive numbers 2k-10222221121211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222221121201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11270364620 + ... + 11270365526.

It is an arithmetic number, because the mean of its divisors is an integer number (123130008288).

Almost surely, 210222221121211 is an apocalyptic number.

10222221121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222221121211 is a deficient number, since it is larger than the sum of its proper divisors (1598259674437).

10222221121211 is a wasteful number, since it uses less digits than its factorization.

10222221121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10222221121211 its reverse (11212112222201), we get a palindrome (21434333343412).

The spelling of 10222221121211 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 11 41 83 101 121 271 451 907 913 1111 2981 3403 4141 4961 8383 9977 10043 11111 12221 22493 27371 32791 37187 37433 45551 75281 91607 92213 109747 122221 245797 247423 301081 343703 409057 411763 501061 828091 922213 1007677 1014343 1122211 1344431 2271793 2703767 2721653 3086521 3311891 3755887 3780733 4499627 7603381 9109001 10077677 10144343 11084447 12344321 20401151 24825497 24989723 29741437 33951731 41314757 41588063 83637191 93143513 110854447 111587773 135787531 224412661 273080467 274886953 311738621 373469041 454462327 836447191 920009101 1017845377 1024578643 1219398917 2060516251 2468539271 3003885137 3429124831 9200919101 11196299147 11270365073 22665678761 37720373141 84481166291 101210110111 123159290617 249322466371 929292829201 10222221121211