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135224220600 = 233252710732081
BaseRepresentation
bin111110111101111111…
…1011101101110111000
3110221001000020011000200
41331323333131232320
54203414400024400
6142042100202200
712524660624130
oct1757377355670
9427030204020
10135224220600
1152391602417
122225a399360
13c9a031ac21
14678b255ac0
1537b680ab00
hex1f7bfddbb8

135224220600 has 144 divisors (see below), whose sum is σ = 519003485520. Its totient is φ = 30908390400.

The previous prime is 135224220587. The next prime is 135224220613. The reversal of 135224220600 is 6022422531.

It is a happy number.

135224220600 is a `hidden beast` number, since 1 + 3 + 52 + 2 + 4 + 2 + 2 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (135224220587) and next prime (135224220613).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5353441 + ... + 5378640.

Almost surely, 2135224220600 is an apocalyptic number.

135224220600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135224220600 is an abundant number, since it is smaller than the sum of its proper divisors (383779264920).

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

135224220600 is a wasteful number, since it uses less digits than its factorization.

135224220600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732110 (or 10732098 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 135224220600 in words is "one hundred thirty-five billion, two hundred twenty-four million, two hundred twenty thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 10732081 21464162 32196243 42928324 53660405 64392486 75124567 85856648 96588729 107320810 128784972 150249134 160981215 193177458 214641620 225373701 257569944 268302025 300498268 321962430 375622835 386354916 429283240 450747402 482943645 536604050 600996536 643924860 676121103 751245670 772709832 804906075 901494804 965887290 1073208100 1126868505 1287849720 1352242206 1502491340 1609812150 1802989608 1878114175 1931774580 2146416200 2253737010 2414718225 2704484412 3004982680 3219624300 3380605515 3756228350 3863549160 4507474020 4829436450 5408968824 5634342525 6439248600 6761211030 7512456700 9014948040 9658872900 11268685050 13522422060 15024913400 16903027575 19317745800 22537370100 27044844120 33806055150 45074740200 67612110300 135224220600