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135430223201100 = 223252187980084101
BaseRepresentation
bin11110110010110001001110…
…010110001000001101001100
3122202112000002002222110220100
4132302301032112020031030
5120222342044114413400
61200011441410451100
740345340116301562
oct3662611626101514
9582460062873810
10135430223201100
113a1746a937a433
121323334b893a90
135a7502766b319
142562c01a53a32
15109ccb6bcb100
hex7b2c4e58834c

135430223201100 has 108 divisors (see below), whose sum is σ = 424724433274960. Its totient is φ = 36095505552000.

The previous prime is 135430223201089. The next prime is 135430223201101. The reversal of 135430223201100 is 1102322034531.

135430223201100 is a `hidden beast` number, since 1 + 3 + 5 + 430 + 2 + 23 + 201 + 1 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (135430223201101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38350951 + ... + 41733150.

Almost surely, 2135430223201100 is an apocalyptic number.

135430223201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135430223201100 is an abundant number, since it is smaller than the sum of its proper divisors (289294210073860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135430223201100 is a wasteful number, since it uses less digits than its factorization.

135430223201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80086000 (or 80085990 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 135430223201100 its reverse (1102322034531), we get a palindrome (136532545235631).

The spelling of 135430223201100 in words is "one hundred thirty-five trillion, four hundred thirty billion, two hundred twenty-three million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1879 3758 5637 7516 9395 11274 16911 18790 22548 28185 33822 37580 46975 56370 67644 84555 93950 112740 140925 169110 187900 281850 338220 422775 563700 845550 1691100 80084101 160168202 240252303 320336404 400420505 480504606 720756909 800841010 961009212 1201261515 1441513818 1601682020 2002102525 2402523030 2883027636 3603784545 4004205050 4805046060 6006307575 7207569090 8008410100 12012615150 14415138180 18018922725 24025230300 36037845450 72075690900 150478025779 300956051558 451434077337 601912103116 752390128895 902868154674 1354302232011 1504780257790 1805736309348 2257170386685 2708604464022 3009560515580 3761950644475 4514340773370 5417208928044 6771511160055 7523901288950 9028681546740 11285851933425 13543022320110 15047802577900 22571703866850 27086044640220 33857555800275 45143407733700 67715111600550 135430223201100