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1123211432135 = 5131912711536211
BaseRepresentation
bin10000010110000100100…
…111100101000011000111
310222101012112110200200102
4100112010213211003013
5121400314111312020
62215555103034315
7144102140434232
oct20260447450307
93871175420612
101123211432135
113a3395631561
1216182929b99b
1381bc28c50c0
143c5140b2419
151e33d627475
hex105849e50c7

1123211432135 has 64 divisors (see below), whose sum is σ = 1541546065920. Its totient is φ = 778804346880.

The previous prime is 1123211432113. The next prime is 1123211432149. The reversal of 1123211432135 is 5312341123211.

It is not a de Polignac number, because 1123211432135 - 214 = 1123211415751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1123211432098 and 1123211432107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180839180 + ... + 180845390.

It is an arithmetic number, because the mean of its divisors is an integer number (24086657280).

Almost surely, 21123211432135 is an apocalyptic number.

1123211432135 is a deficient number, since it is larger than the sum of its proper divisors (418334633785).

1123211432135 is a wasteful number, since it uses less digits than its factorization.

1123211432135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528.

The product of its digits is 4320, while the sum is 29.

Adding to 1123211432135 its reverse (5312341123211), we get a palindrome (6435552555346).

The spelling of 1123211432135 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, four hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 5 13 19 65 95 127 247 635 1153 1235 1651 2413 5765 6211 8255 12065 14989 21907 31055 31369 74945 80743 109535 118009 146431 156845 284791 403715 590045 732155 788797 1423955 1534117 1903603 2782189 3943985 7161283 7670585 9518015 10254361 13910945 14987143 35806415 36168457 51271805 74935715 93096679 136064377 180842285 194832859 465483395 680321885 909482941 974164295 1768836901 4547414705 8844184505 11823278233 17280175879 59116391165 86400879395 224642286427 1123211432135