Search a number
-
+
10122010121000 = 235333130580091
BaseRepresentation
bin1001001101001011011011…
…0100010101001100101000
31022211122200021210120221202
42103102312310111030220
52311314334042333000
633305553125223332
72063201563303631
oct223226664251450
938748607716852
1010122010121000
1132527a1918868
121175868861b48
135856699218ab
1426dc9d406888
1512846b609dd5
hex934b6d15328

10122010121000 has 64 divisors (see below), whose sum is σ = 23757061872960. Its totient is φ = 4036571880000.

The previous prime is 10122010120993. The next prime is 10122010121009. The reversal of 10122010121000 is 12101022101.

It is not an unprimeable number, because it can be changed into a prime (10122010121009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14959046 + ... + 15621045.

It is an arithmetic number, because the mean of its divisors is an integer number (371204091765).

Almost surely, 210122010121000 is an apocalyptic number.

10122010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122010121000 is an abundant number, since it is smaller than the sum of its proper divisors (13635051751960).

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

10122010121000 is a wasteful number, since it uses less digits than its factorization.

10122010121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30580443 (or 30580429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10122010121000 its reverse (12101022101), we get a palindrome (10134111143101).

The spelling of 10122010121000 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 331 500 662 1000 1324 1655 2648 3310 6620 8275 13240 16550 33100 41375 66200 82750 165500 331000 30580091 61160182 122320364 152900455 244640728 305800910 611601820 764502275 1223203640 1529004550 3058009100 3822511375 6116018200 7645022750 10122010121 15290045500 20244020242 30580091000 40488040484 50610050605 80976080968 101220101210 202440202420 253050253025 404880404840 506100506050 1012201012100 1265251265125 2024402024200 2530502530250 5061005060500 10122010121000