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101240441224221 = 313171971771119809
BaseRepresentation
bin10111000001001111100000…
…100010010011110000011101
3111021110111021102022200121110
4113001033200202103300131
5101232210410423133341
6555153114443052233
730216244340445135
oct2701174042236035
9437414242280543
10101240441224221
112a292914813622
12b4310aab11079
134464c18029610
141b000c635dac5
15ba8769a9a216
hex5c13e0893c1d

101240441224221 has 64 divisors (see below), whose sum is σ = 162046002988800. Its totient is φ = 55543050141696.

The previous prime is 101240441224211. The next prime is 101240441224249. The reversal of 101240441224221 is 122422144042101.

It is not a de Polignac number, because 101240441224221 - 25 = 101240441224189 is a prime.

It is a super-3 number, since 3×1012404412242213 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101240441224211) 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, 89848765 + ... + 90968573.

It is an arithmetic number, because the mean of its divisors is an integer number (2531968796700).

Almost surely, 2101240441224221 is an apocalyptic number.

It is an amenable number.

101240441224221 is a deficient number, since it is larger than the sum of its proper divisors (60805561764579).

101240441224221 is a wasteful number, since it uses less digits than its factorization.

101240441224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127038.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 101240441224221 its reverse (122422144042101), we get a palindrome (223662585266322).

The spelling of 101240441224221 in words is "one hundred one trillion, two hundred forty billion, four hundred forty-one million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 13 17 19 39 51 57 221 247 323 663 741 969 4199 7177 12597 21531 93301 122009 136363 279903 366027 409089 1119809 1586117 1772719 2318171 3359427 4758351 5318157 6954513 14557517 19036753 21276371 30136223 43672551 57110259 63829113 90408669 247477789 276592823 361698307 742433367 829778469 1085094921 4702077991 8036869193 14106233973 24110607579 104479299509 136626776281 152700514667 313437898527 409880328843 458101544001 1776148091653 1985106690671 2595908749339 5328444274959 5955320072013 7787726248017 33746813741407 101240441224221