Search a number
-
+
23011003022100 = 22352678571335853
BaseRepresentation
bin1010011101101101010101…
…01010010011101100010100
310000110211102100212012212220
411032312222222103230110
511004003013233201400
6120535035302342340
74563330051306432
oct516665252235424
9100424370765786
1023011003022100
117371a03346105
1226b782a42a9b0
13cabc0b5589b2
14597a4a5add52
1529d8805647a0
hex14edaaa93b14

23011003022100 has 144 divisors (see below), whose sum is σ = 67651109093568. Its totient is φ = 6037623567360.

The previous prime is 23011003022053. The next prime is 23011003022131. The reversal of 23011003022100 is 122030011032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23011003022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16557774 + ... + 17893626.

Almost surely, 223011003022100 is an apocalyptic number.

23011003022100 is a gapful number since it is divisible by the number (20) 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 23011003022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33825554546784).

23011003022100 is an abundant number, since it is smaller than the sum of its proper divisors (44640106071468).

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

23011003022100 is a wasteful number, since it uses less digits than its factorization.

23011003022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336794 (or 1336787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23011003022100 its reverse (122030011032), we get a palindrome (23133033033132).

The spelling of 23011003022100 in words is "twenty-three trillion, eleven billion, three million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 857 1005 1340 1675 1714 2010 2571 3350 3428 4020 4285 5025 5142 6700 8570 10050 10284 12855 17140 20100 21425 25710 42850 51420 57419 64275 85700 114838 128550 172257 229676 257100 287095 344514 574190 689028 861285 1148380 1335853 1435475 1722570 2671706 2870950 3445140 4007559 4306425 5343412 5741900 6679265 8015118 8612850 13358530 16030236 17225700 20037795 26717060 33396325 40075590 66792650 80151180 89502151 100188975 133585300 179004302 200377950 268506453 358008604 400755900 447510755 537012906 895021510 1074025812 1144826021 1342532265 1790043020 2237553775 2289652042 2685064530 3434478063 4475107550 4579304084 5370129060 5724130105 6712661325 6868956126 8950215100 11448260210 13425322650 13737912252 17172390315 22896520420 26850645300 28620650525 34344780630 57241301050 68689561260 76703343407 85861951575 114482602100 153406686814 171723903150 230110030221 306813373628 343447806300 383516717035 460220060442 767033434070 920440120884 1150550151105 1534066868140 1917583585175 2301100302210 3835167170350 4602200604420 5752750755525 7670334340700 11505501511050 23011003022100