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102111320 = 235192941113
BaseRepresentation
bin1100001011000…
…01100001011000
321010010210101202
412011201201120
5202120030240
614044333332
72346634433
oct605414130
9233123352
10102111320
1152703823
122a244248
13182027cc
14d7c081a
158e70315
hex6161858

102111320 has 128 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 36126720.

The previous prime is 102111319. The next prime is 102111389. The reversal of 102111320 is 23111201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903584 + ... + 903696.

Almost surely, 2102111320 is an apocalyptic number.

102111320 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 102111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

102111320 is an abundant number, since it is smaller than the sum of its proper divisors (156440680).

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

102111320 is a wasteful number, since it uses less digits than its factorization.

102111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102111320 is about 10105.0145967237. The cubic root of 102111320 is about 467.4027860814.

Adding to 102111320 its reverse (23111201), we get a palindrome (125222521).

The spelling of 102111320 in words is "one hundred two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 41 58 76 82 95 113 116 145 152 164 190 205 226 232 290 328 380 410 452 551 565 580 760 779 820 904 1102 1130 1160 1189 1558 1640 2147 2204 2260 2378 2755 3116 3277 3895 4294 4408 4520 4633 4756 5510 5945 6232 6554 7790 8588 9266 9512 10735 11020 11890 13108 15580 16385 17176 18532 21470 22040 22591 23165 23780 26216 31160 32770 37064 42940 45182 46330 47560 62263 65540 85880 88027 90364 92660 112955 124526 131080 134357 176054 180728 185320 225910 249052 268714 311315 352108 440135 451820 498104 537428 622630 671785 704216 880270 903640 1074856 1245260 1343570 1760540 2490520 2552783 2687140 3521080 5105566 5374280 10211132 12763915 20422264 25527830 51055660 102111320