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101142314411433 = 37313732081161639
BaseRepresentation
bin10110111111110100000111…
…101110001110010110101001
3111021010002222210102010010220
4112333310013232032112221
5101224103424442131213
6555040045433000253
730206201560343631
oct2677640756162651
9437102883363126
10101142314411433
112a25523a78a829
12b416084553089
1344588aa623399
141ad9457dc76c1
15ba5e25023e23
hex5bfd07b8e5a9

101142314411433 has 32 divisors (see below), whose sum is σ = 136869919153920. Its totient is φ = 66423752478720.

The previous prime is 101142314411399. The next prime is 101142314411443. The reversal of 101142314411433 is 334114413241101.

It is not a de Polignac number, because 101142314411433 - 217 = 101142314280361 is a prime.

It is a super-2 number, since 2×1011423144114332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101142314411394 and 101142314411403.

It is not an unprimeable number, because it can be changed into a prime (101142314411443) 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, 625648828 + ... + 625810466.

It is an arithmetic number, because the mean of its divisors is an integer number (4277184973560).

Almost surely, 2101142314411433 is an apocalyptic number.

It is an amenable number.

101142314411433 is a deficient number, since it is larger than the sum of its proper divisors (35727604742487).

101142314411433 is a wasteful number, since it uses less digits than its factorization.

101142314411433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165169.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 101142314411433 its reverse (334114413241101), we get a palindrome (435256727652534).

The spelling of 101142314411433 in words is "one hundred one trillion, one hundred forty-two billion, three hundred fourteen million, four hundred eleven thousand, four hundred thirty-three".

Divisors: 1 3 73 219 1373 2081 4119 6243 100229 151913 161639 300687 455739 484917 2857213 8571639 11799647 35398941 208576549 221930347 336370759 625729647 665791041 1009112277 16200915331 24555065407 48602745993 73665196221 461837052107 1385511156321 33714104803811 101142314411433