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10122110212020 = 22351072879547639
BaseRepresentation
bin1001001101001011110011…
…0010001001011110110100
31022211122221021010202000120
42103102330302021132310
52311320040203241040
633310011102411540
72063204220125322
oct223227462113664
938748837122016
1010122110212020
113252843371714
121175896290bb0
13585684597951
1426dcac81cd12
151284752cb7d0
hex934bcc897b4

10122110212020 has 96 divisors (see below), whose sum is σ = 28616774860800. Its totient is φ = 2673069270144.

The previous prime is 10122110211989. The next prime is 10122110212021. The reversal of 10122110212020 is 2021201122101.

10122110212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122110212021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18209361 + ... + 18756999.

It is an arithmetic number, because the mean of its divisors is an integer number (298091404800).

Almost surely, 210122110212020 is an apocalyptic number.

10122110212020 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 10122110212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308387430400).

10122110212020 is an abundant number, since it is smaller than the sum of its proper divisors (18494664648780).

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

10122110212020 is a wasteful number, since it uses less digits than its factorization.

10122110212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550637 (or 550635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122110212020 its reverse (2021201122101), we get a palindrome (12143311334121).

The spelling of 10122110212020 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 2879 3210 5758 6420 8637 11516 14395 17274 28790 34548 43185 57580 86370 172740 308053 547639 616106 924159 1095278 1232212 1540265 1642917 1848318 2190556 2738195 3080530 3285834 3696636 4620795 5476390 6161060 6571668 8214585 9241590 10952780 16429170 18483180 32858340 58597373 117194746 175792119 234389492 292986865 351584238 585973730 703168476 878960595 1171947460 1576652681 1757921190 3153305362 3515842380 4729958043 6306610724 7883263405 9459916086 15766526810 18919832172 23649790215 31533053620 47299580430 94599160860 168701836867 337403673734 506105510601 674807347468 843509184335 1012211021202 1687018368670 2024422042404 2530527553005 3374036737340 5061055106010 10122110212020