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120102136 = 23731123173
BaseRepresentation
bin1110010100010…
…01110011111000
322100222211011021
413022021303320
5221221232021
615530112224
72655565000
oct712116370
9270884137
10120102136
1161881570
123427b674
131bb6156b
1411d45000
15a825c41
hex7289cf8

120102136 has 128 divisors (see below), whose sum is σ = 300672000. Its totient is φ = 44499840.

The previous prime is 120102133. The next prime is 120102167. The reversal of 120102136 is 631201021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694146 + ... + 694318.

It is an arithmetic number, because the mean of its divisors is an integer number (2349000).

Almost surely, 2120102136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120102136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150336000).

120102136 is an abundant number, since it is smaller than the sum of its proper divisors (180569864).

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

120102136 is a wasteful number, since it uses less digits than its factorization.

120102136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120102136 is about 10959.1120078225. The cubic root of 120102136 is about 493.3823135364.

Adding to 120102136 its reverse (631201021), we get a palindrome (751303157).

The spelling of 120102136 in words is "one hundred twenty million, one hundred two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 49 56 77 88 92 98 154 161 173 184 196 253 308 322 343 346 392 506 539 616 644 686 692 1012 1078 1127 1211 1288 1372 1384 1771 1903 2024 2156 2254 2422 2744 3542 3773 3806 3979 4312 4508 4844 7084 7546 7612 7889 7958 8477 9016 9688 12397 13321 14168 15092 15224 15778 15916 16954 24794 26642 27853 30184 31556 31832 33908 43769 49588 53284 55706 59339 63112 67816 86779 87538 93247 99176 106568 111412 118678 173558 175076 186494 194971 222824 237356 306383 347116 350152 372988 389942 474712 612766 652729 694232 745976 779884 1225532 1305458 1364797 1559768 2144681 2451064 2610916 2729594 4289362 5221832 5459188 8578724 10918376 15012767 17157448 30025534 60051068 120102136