Search a number
-
+
10111110110010 = 2335713411522593
BaseRepresentation
bin1001001100100010110100…
…1000000101101100111010
31022210121112122111122212000
42103020231020011230322
52311130023142010020
633300551352201430
72062334506606140
oct223105510055472
938717478448760
1010111110110010
113249109074218
121173726399276
13584620635a50
1426d547923590
1512802e71c090
hex9322d205b3a

10111110110010 has 128 divisors (see below), whose sum is σ = 33185181980160. Its totient is φ = 2133333116928.

The previous prime is 10111110109949. The next prime is 10111110110021. The reversal of 10111110110010 is 1001101111101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10111110109974 and 10111110110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205736727 + ... + 205785866.

It is an arithmetic number, because the mean of its divisors is an integer number (259259234220).

Almost surely, 210111110110010 is an apocalyptic number.

10111110110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111110110010 is an abundant number, since it is smaller than the sum of its proper divisors (23074071870150).

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

10111110110010 is a wasteful number, since it uses less digits than its factorization.

10111110110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411522629 (or 411522623 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111110110010 its reverse (1001101111101), we get a palindrome (11112211221111).

The spelling of 10111110110010 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 411522593 823045186 1234567779 2057612965 2469135558 2880658151 3703703337 4115225930 5349793709 5761316302 6172838895 7407406674 8641974453 10699587418 11111110011 12345677790 14403290755 16049381127 17283948906 18518516685 22222220022 25925923359 26748968545 28806581510 32098762254 37037033370 37448555963 43209872265 48148143381 51851846718 53497937090 55555550055 74897111926 77777770077 80246905635 86419744530 96296286762 111111100110 112345667889 129629616795 144444430143 155555540154 160493811270 187242779815 224691335778 240740716905 259259233590 288888860286 337037003667 374485559630 388888850385 481481433810 561728339445 674074007334 722222150715 777777700770 1011111011001 1123456678890 1444444301430 1685185018335 2022222022002 3370370036670 5055555055005 10111110110010