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102237120 = 2633511833
BaseRepresentation
bin1100001100000…
…00001111000000
321010101011222000
412012000033000
5202133041440
614051144000
72351000256
oct606001700
9233334860
10102237120
115278a297
122a2a5000
1318247b4b
14d8145d6
158e97730
hex61803c0

102237120 has 112 divisors (see below), whose sum is σ = 360700320. Its totient is φ = 27260928.

The previous prime is 102237077. The next prime is 102237131. The reversal of 102237120 is 21732201.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102237093 and 102237102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2724 + ... + 14556.

Almost surely, 2102237120 is an apocalyptic number.

102237120 is a gapful number since it is divisible by the number (10) 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 102237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180350160).

102237120 is an abundant number, since it is smaller than the sum of its proper divisors (258463200).

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

102237120 is a wasteful number, since it uses less digits than its factorization.

102237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102237120 is about 10111.2373130097. The cubic root of 102237120 is about 467.5946523059.

Adding to 102237120 its reverse (21732201), we get a palindrome (123969321).

The spelling of 102237120 in words is "one hundred two million, two hundred thirty-seven 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 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 11833 23666 35499 47332 59165 70998 94664 106497 118330 141996 177495 189328 212994 236660 283992 319491 354990 378656 425988 473320 532485 567984 638982 709980 757312 851976 946640 1064970 1135968 1277964 1419960 1597455 1703952 1893280 2129940 2271936 2555928 2839920 3194910 3407904 3786560 4259880 5111856 5679840 6389820 6815808 8519760 10223712 11359680 12779640 17039520 20447424 25559280 34079040 51118560 102237120