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135106231206450 = 23527831550272303
BaseRepresentation
bin11110101110000011011110…
…111010110000001000110010
3122201101000210112212211201210
4132232003132322300020302
5120202040030142101300
61155202540141540550
740313050233630030
oct3656033672601062
9581330715784653
10135106231206450
113a05a25a338489
12131a05ab574756
135a506030b709a
14255126839b550
1510946530ad050
hex7ae0deeb0232

135106231206450 has 96 divisors (see below), whose sum is σ = 387543271643136. Its totient is φ = 30509358903360.

The previous prime is 135106231206407. The next prime is 135106231206487. The reversal of 135106231206450 is 54602132601531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135106231206399 and 135106231206408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775049002 + ... + 775223301.

It is an arithmetic number, because the mean of its divisors is an integer number (4036909079616).

Almost surely, 2135106231206450 is an apocalyptic number.

135106231206450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135106231206450 is an abundant number, since it is smaller than the sum of its proper divisors (252437040436686).

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

135106231206450 is a wasteful number, since it uses less digits than its factorization.

135106231206450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550272408 (or 1550272403 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 135106231206450 its reverse (54602132601531), we get a palindrome (189708363807981).

The spelling of 135106231206450 in words is "one hundred thirty-five trillion, one hundred six billion, two hundred thirty-one million, two hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 83 105 150 166 175 210 249 350 415 498 525 581 830 1050 1162 1245 1743 2075 2490 2905 3486 4150 5810 6225 8715 12450 14525 17430 29050 43575 87150 1550272303 3100544606 4650816909 7751361515 9301633818 10851906121 15502723030 21703812242 23254084545 32555718363 38756807575 46508169090 54259530605 65111436726 77513615150 108519061210 116270422725 128672601149 162778591815 232540845450 257345202298 271297653025 325557183630 386017803447 542595306050 643363005745 772035606894 813892959075 900708208043 1286726011490 1627785918150 1801416416086 1930089017235 2702124624129 3216815028725 3860178034470 4503541040215 5404249248258 6433630057450 9007082080430 9650445086175 13510623120645 19300890172350 22517705201075 27021246241290 45035410402150 67553115603225 135106231206450