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2235310105401 = 332356357111197
BaseRepresentation
bin100000100001110010110…
…111010110001100111001
321220200201121022202001000
4200201302313112030321
5243110403341333101
64430515353115213
7320332032253542
oct40416267261471
97820647282030
102235310105401
11791a9830987a
123012749b8b09
13132a34102829
147a2923214c9
153d22b33a486
hex20872dd6339

2235310105401 has 64 divisors (see below), whose sum is σ = 3468061808640. Its totient is φ = 1420264549440.

The previous prime is 2235310105381. The next prime is 2235310105417. The reversal of 2235310105401 is 1045010135322.

2235310105401 is a `hidden beast` number, since 2 + 23 + 531 + 0 + 105 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 2235310105401 - 26 = 2235310105337 is a prime.

It is a super-2 number, since 2×22353101054012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2235310105471) 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, 199629135 + ... + 199640331.

It is an arithmetic number, because the mean of its divisors is an integer number (54188465760).

Almost surely, 22235310105401 is an apocalyptic number.

It is an amenable number.

2235310105401 is a deficient number, since it is larger than the sum of its proper divisors (1232751703239).

2235310105401 is a wasteful number, since it uses less digits than its factorization.

2235310105401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12363 (or 12357 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2235310105401 in words is "two trillion, two hundred thirty-five billion, three hundred ten million, one hundred five thousand, four hundred one".

Divisors: 1 3 9 23 27 69 207 563 571 621 1689 1713 5067 5139 11197 12949 13133 15201 15417 33591 38847 39399 100773 116541 118197 257531 302319 321473 349623 354591 772593 964419 2317779 2893257 6303911 6393487 6953337 7393879 8679771 18911733 19180461 22181637 56735199 57541383 66544911 144989953 147050201 170205597 172624149 199634733 434969859 441150603 1304909577 1323451809 3599533181 3914728731 3970355427 10798599543 32395798629 82789263163 97187395887 248367789489 745103368467 2235310105401