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10122022000 = 245319266369
BaseRepresentation
bin10010110110101000…
…11100110001110000
3222010102100222211201
421123110130301300
5131212214201000
64352222020544
7505555524136
oct113324346160
928112328751
1010122022000
114324687a42
121b65a17754
13c5407183c
146c0447756
153e396296a
hex25b51cc70

10122022000 has 80 divisors (see below), whose sum is σ = 25763306400. Its totient is φ = 3835699200.

The previous prime is 10122021979. The next prime is 10122022013. The reversal of 10122022000 is 22022101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95185 + ... + 171184.

It is an arithmetic number, because the mean of its divisors is an integer number (322041330).

Almost surely, 210122022000 is an apocalyptic number.

10122022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122022000 is an abundant number, since it is smaller than the sum of its proper divisors (15641284400).

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

10122022000 is a wasteful number, since it uses less digits than its factorization.

10122022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266411 (or 266395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10122022000 its reverse (22022101), we get a palindrome (10144044101).

The spelling of 10122022000 in words is "ten billion, one hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 266369 532738 1065476 1331845 2130952 2663690 4261904 5061011 5327380 6659225 10122022 10654760 13318450 20244044 21309520 25305055 26636900 33296125 40488088 50610110 53273800 66592250 80976176 101220220 106547600 126525275 133184500 202440440 253050550 266369000 404880880 506101100 532738000 632626375 1012202200 1265252750 2024404400 2530505500 5061011000 10122022000