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2131233120 = 25345164447
BaseRepresentation
bin111111100001000…
…0000100101100000
312111112021212020000
41333002000211200
513331043424440
6551251420000
7103546116432
oct17702004540
95445255200
102131233120
119a4030a95
124b58b4600
1327c7051b3
1416309a652
15c7186730
hex7f080960

2131233120 has 120 divisors (see below), whose sum is σ = 7521522624. Its totient is φ = 568325376.

The previous prime is 2131233119. The next prime is 2131233121. The reversal of 2131233120 is 213321312.

2131233120 is a `hidden beast` number, since 2 + 1 + 312 + 331 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2131233119) and next prime (2131233121).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21312331202 = 9084309223569868800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131233093 and 2131233102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131233121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69264 + ... + 95183.

Almost surely, 22131233120 is an apocalyptic number.

2131233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131233120 is an abundant number, since it is smaller than the sum of its proper divisors (5390289504).

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

2131233120 is a wasteful number, since it uses less digits than its factorization.

2131233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164474 (or 164457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131233120 is about 46165.2804605366. The cubic root of 2131233120 is about 1286.8965962532.

Adding to 2131233120 its reverse (213321312), we get a palindrome (2344554432).

The spelling of 2131233120 in words is "two billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 164447 328894 493341 657788 822235 986682 1315576 1480023 1644470 1973364 2466705 2631152 2960046 3288940 3946728 4440069 4933410 5262304 5920092 6577880 7400115 7893456 8880138 9866820 11840184 13155760 13320207 14800230 15786912 17760276 19733640 22200345 23680368 26311520 26640414 29600460 35520552 39467280 44400690 47360736 53280828 59200920 66601035 71041104 78934560 88801380 106561656 118401840 133202070 142082208 177602760 213123312 236803680 266404140 355205520 426246624 532808280 710411040 1065616560 2131233120