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120410014021 = 11192953374837
BaseRepresentation
bin111000000100011111…
…1110000000101000101
3102111210120200110222221
41300020333300011011
53433044430422041
6131152100252341
711461605142363
oct1601077600505
9374716613887
10120410014021
114707a34a790
121b4050a10b1
13b47c123a0b
145b83996633
1531eae962d1
hex1c08ff0145

120410014021 has 32 divisors (see below), whose sum is σ = 145737014400. Its totient is φ = 98237018880.

The previous prime is 120410014009. The next prime is 120410014091.

It is a happy number.

120410014021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120410014021 - 25 = 120410013989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120410013986 and 120410014004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120410014091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133815 + ... + 508651.

It is an arithmetic number, because the mean of its divisors is an integer number (4554281700).

Almost surely, 2120410014021 is an apocalyptic number.

120410014021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120410014021 is a deficient number, since it is larger than the sum of its proper divisors (25327000379).

120410014021 is a wasteful number, since it uses less digits than its factorization.

120410014021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374949.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1204100 and 14021, that added together give a palindrome (1218121).

The spelling of 120410014021 in words is "one hundred twenty billion, four hundred ten million, fourteen thousand, twenty-one".

Divisors: 1 11 19 29 53 209 319 551 583 1007 1537 6061 11077 16907 29203 321233 374837 4123207 7121903 10870273 19866361 78340933 119573003 206535187 218529971 377460859 576124469 2271887057 4152069449 6337369159 10946364911 120410014021