Search a number
-
+
10255514100 = 223521319138401
BaseRepresentation
bin10011000110100011…
…01011100111110100
3222110201120002120120
421203101223213310
5132000402422400
64413351131540
7512066301006
oct114321534764
928421502516
1010255514100
114392a74597
121ba2673bb0
13c75910950
146d4076376
15400530ca0
hex26346b9f4

10255514100 has 144 divisors (see below), whose sum is σ = 33637222080. Its totient is φ = 2391552000.

The previous prime is 10255514099. The next prime is 10255514117. The reversal of 10255514100 is 141555201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4900 + ... + 143300.

It is an arithmetic number, because the mean of its divisors is an integer number (233591820).

Almost surely, 210255514100 is an apocalyptic number.

10255514100 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 10255514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818611040).

10255514100 is an abundant number, since it is smaller than the sum of its proper divisors (23381707980).

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

10255514100 is a wasteful number, since it uses less digits than its factorization.

10255514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138450 (or 138443 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 10255514100 in words is "ten billion, two hundred fifty-five million, five hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 138401 276802 415203 553604 692005 830406 1384010 1660812 1799213 2076015 2629619 2768020 3460025 3598426 4152030 5259238 5397639 6920050 7196852 7888857 8304060 8996065 10380075 10518476 10795278 13148095 13840100 15777714 17992130 20760150 21590556 26296190 26988195 31555428 34185047 35984260 39444285 41520300 44980325 52592380 53976390 65740475 68370094 78888570 89960650 102555141 107952780 131480950 134940975 136740188 157777140 170925235 179921300 197221425 205110282 262961900 269881950 341850470 394442850 410220564 512775705 539763900 683700940 788885700 854626175 1025551410 1709252350 2051102820 2563878525 3418504700 5127757050 10255514100