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14220100402135 = 5476112719340471
BaseRepresentation
bin1100111011101110000000…
…0010000111101111010111
31212100102120020122212100021
43032323200002013233113
53330440231200332020
650124342434330011
72665240226040055
oct316734002075727
955312506585307
1014220100402135
11459278aa61481
121717b4aa29907
137c1c466a25a4
14372383ccd1d5
15199d6dd221aa
hexceee0087bd7

14220100402135 has 64 divisors (see below), whose sum is σ = 17945292570624. Its totient is φ = 10808714649600.

The previous prime is 14220100402129. The next prime is 14220100402139. The reversal of 14220100402135 is 53120400102241.

It is not a de Polignac number, because 14220100402135 - 211 = 14220100400087 is a prime.

It is a super-2 number, since 2×142201004021352 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220100402139) 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, 351344950 + ... + 351385420.

It is an arithmetic number, because the mean of its divisors is an integer number (280395196416).

Almost surely, 214220100402135 is an apocalyptic number.

14220100402135 is a deficient number, since it is larger than the sum of its proper divisors (3725192168489).

14220100402135 is a wasteful number, since it uses less digits than its factorization.

14220100402135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40904.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14220100402135 its reverse (53120400102241), we get a palindrome (67340500504376).

The spelling of 14220100402135 in words is "fourteen trillion, two hundred twenty billion, one hundred million, four hundred two thousand, one hundred thirty-five".

Divisors: 1 5 47 61 127 193 235 305 635 965 2867 5969 7747 9071 11773 14335 24511 29845 38735 40471 45355 58865 122555 202355 364109 553331 1152017 1495171 1820545 1902137 2468731 2766655 5139817 5760085 7475855 7810903 9510685 12343655 25699085 39054515 70273037 116030357 241571399 313528837 351365185 367112441 476465083 580151785 991984681 1207856995 1567644185 1835562205 2382325415 4959923405 14735855339 22393858901 46623280007 60511065541 73679276695 111969294505 233116400035 302555327705 2844020080427 14220100402135