Search a number
-
+
11010102120 = 2333528793541
BaseRepresentation
bin10100100000100000…
…01101001101101000
31001102022110010202000
422100100031031220
5140022041231440
65020304411000
7536561216043
oct122020151550
931368403660
1011010102120
11473aa08756
122173316a60
131066053834
1476637dc5a
154468d7730
hex29040d368

11010102120 has 128 divisors (see below), whose sum is σ = 36723456000. Its totient is φ = 2934178560.

The previous prime is 11010102119. The next prime is 11010102143. The reversal of 11010102120 is 2120101011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3107550 + ... + 3111090.

It is an arithmetic number, because the mean of its divisors is an integer number (286902000).

Almost surely, 211010102120 is an apocalyptic number.

11010102120 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 11010102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361728000).

11010102120 is an abundant number, since it is smaller than the sum of its proper divisors (25713353880).

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

11010102120 is a wasteful number, since it uses less digits than its factorization.

11010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11010102120 its reverse (2120101011), we get a palindrome (13130203131).

The spelling of 11010102120 in words is "eleven billion, ten million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2879 3541 5758 7082 8637 10623 11516 14164 14395 17274 17705 21246 23032 25911 28328 28790 31869 34548 35410 42492 43185 51822 53115 57580 63738 69096 70820 77733 84984 86370 95607 103644 106230 115160 127476 129555 141640 155466 159345 172740 191214 207288 212460 254952 259110 310932 318690 345480 382428 388665 424920 478035 518220 621864 637380 764856 777330 956070 1036440 1274760 1554660 1912140 3109320 3824280 10194539 20389078 30583617 40778156 50972695 61167234 81556312 91750851 101945390 122334468 152918085 183501702 203890780 244668936 275252553 305836170 367003404 407781560 458754255 550505106 611672340 734006808 917508510 1101010212 1223344680 1376262765 1835017020 2202020424 2752525530 3670034040 5505051060 11010102120