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231102052200 = 233252488926261
BaseRepresentation
bin1101011100111011000…
…0010111011101101000
3211002111220021122021200
43113032300113131220
512241244111132300
6254100011004200
722460632014015
oct3271660273550
9732456248250
10231102052200
118a0120a1378
1238957739660
1318a3cb03066
14b284a4070c
156028bdc200
hex35cec17768

231102052200 has 144 divisors (see below), whose sum is σ = 776306033100. Its totient is φ = 61612262400.

The previous prime is 231102052183. The next prime is 231102052219. The reversal of 231102052200 is 2250201132.

231102052200 is a `hidden beast` number, since 231 + 10 + 205 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33843489156 + 197258563044 = 183966^2 + 444138^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8787070 + ... + 8813330.

Almost surely, 2231102052200 is an apocalyptic number.

231102052200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231102052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388153016550).

231102052200 is an abundant number, since it is smaller than the sum of its proper divisors (545203980900).

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

231102052200 is a wasteful number, since it uses less digits than its factorization.

231102052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31172 (or 31160 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 231102052200 its reverse (2250201132), we get a palindrome (233352253332).

The spelling of 231102052200 in words is "two hundred thirty-one billion, one hundred two million, fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 4889 9778 14667 19556 24445 26261 29334 39112 44001 48890 52522 58668 73335 78783 88002 97780 105044 117336 122225 131305 146670 157566 176004 195560 210088 220005 236349 244450 262610 293340 315132 352008 366675 393915 440010 472698 488900 525220 586680 630264 656525 733350 787830 880020 945396 977800 1050440 1100025 1181745 1313050 1466700 1575660 1760040 1890792 1969575 2200050 2363490 2626100 2933400 3151320 3939150 4400100 4726980 5252200 5908725 7878300 8800200 9453960 11817450 15756600 23634900 47269800 128390029 256780058 385170087 513560116 641950145 770340174 1027120232 1155510261 1283900290 1540680348 1925850435 2311020522 2567800580 3081360696 3209750725 3851700870 4622041044 5135601160 5777551305 6419501450 7703401740 9244082088 9629252175 11555102610 12839002900 15406803480 19258504350 23110205220 25678005800 28887756525 38517008700 46220410440 57775513050 77034017400 115551026100 231102052200