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10120221111221 = 137936726850569
BaseRepresentation
bin1001001101000100110000…
…1011110011001110110101
31022211111001121110110220022
42103101030023303032311
52311302203101024341
633305055420414525
72063106341051654
oct223211413631665
938744047413808
1010120221111221
113251a63a90291
1211754496a7445
135854430ac020
1426db6d99119b
151283b4522e4b
hex9344c2f33b5

10120221111221 has 16 divisors (see below), whose sum is σ = 11066730931200. Its totient is φ = 9198360183168.

The previous prime is 10120221111199. The next prime is 10120221111227. The reversal of 10120221111221 is 12211112202101.

10120221111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10120221111221 is a prime.

It is a super-2 number, since 2×101202211112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120221111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221111227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13048376 + ... + 13802193.

It is an arithmetic number, because the mean of its divisors is an integer number (691670683200).

Almost surely, 210120221111221 is an apocalyptic number.

It is an amenable number.

10120221111221 is a deficient number, since it is larger than the sum of its proper divisors (946509819979).

10120221111221 is a wasteful number, since it uses less digits than its factorization.

10120221111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26851028.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10120221111221 its reverse (12211112202101), we get a palindrome (22331333313322).

The spelling of 10120221111221 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 79 367 1027 4771 28993 376909 26850569 349057397 2121194951 9854158823 27575534363 128104064699 778478547017 10120221111221