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10120022200221 = 3232109151387437
BaseRepresentation
bin1001001101000100000001…
…0101000000111110011101
31022211110112202011202022020
42103101000111000332131
52311301301140401341
633305023553210353
72063101404251343
oct223210025007635
938743482152266
1010120022200221
11325197178152a
1211753b2b609b9
13585410b165cb
1426db513b3993
151283a1d31566
hex93440540f9d

10120022200221 has 48 divisors (see below), whose sum is σ = 14329254952320. Its totient is φ = 6351780758400.

The previous prime is 10120022200187. The next prime is 10120022200229. The reversal of 10120022200221 is 12200222002101.

It is not a de Polignac number, because 10120022200221 - 221 = 10120020103069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120022200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120022200229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25926715 + ... + 26314151.

It is an arithmetic number, because the mean of its divisors is an integer number (298526144840).

Almost surely, 210120022200221 is an apocalyptic number.

It is an amenable number.

10120022200221 is a deficient number, since it is larger than the sum of its proper divisors (4209232752099).

10120022200221 is a wasteful number, since it uses less digits than its factorization.

10120022200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387746 (or 387723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10120022200221 its reverse (12200222002101), we get a palindrome (22320244202322).

The spelling of 10120022200221 in words is "ten trillion, one hundred twenty billion, twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 23 69 109 151 327 453 529 1587 2507 3473 7521 10419 16459 49377 57661 79879 172983 239637 378557 387437 1135671 1162311 8706811 8911051 26120433 26733153 42230633 58502987 126691899 175508961 204954173 614862519 971304559 1345568701 2913913677 4036706103 6376825583 19130476749 22340004857 30948080123 67020014571 92844240369 146666988409 440000965227 3373340733407 10120022200221