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10202120111022 = 237273633775013
BaseRepresentation
bin1001010001110101110110…
…1111101100001110101110
31100010022110021212201220020
42110131131233230032232
52314122420222023042
633410442252303010
72102036022056100
oct224353557541656
940108407781806
1010202120111022
113283770919a94
1211892a5471a66
13590095787358
14273adca13570
1512a5a95a33ec
hex9475dbec3ae

10202120111022 has 96 divisors (see below), whose sum is σ = 24064806858912. Its totient is φ = 2874469441536.

The previous prime is 10202120110997. The next prime is 10202120111063. The reversal of 10202120111022 is 22011102120201.

It is a junction number, because it is equal to n+sod(n) for n = 10202120110992 and 10202120111010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135967188 + ... + 136042200.

It is an arithmetic number, because the mean of its divisors is an integer number (250675071447).

Almost surely, 210202120111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202120111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032403429456).

10202120111022 is an abundant number, since it is smaller than the sum of its proper divisors (13862686747890).

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

10202120111022 is a wasteful number, since it uses less digits than its factorization.

10202120111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81442 (or 81435 counting only the distinct ones).

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

Adding to 10202120111022 its reverse (22011102120201), we get a palindrome (32213222231223).

The spelling of 10202120111022 in words is "ten trillion, two hundred two billion, one hundred twenty million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 1022 1533 3066 3577 6337 7154 10731 12674 19011 21462 38022 44359 75013 88718 133077 150026 225039 266154 310513 450078 462601 525091 621026 925202 931539 1050182 1387803 1575273 1863078 2775606 3150546 3238207 3675637 5475949 6476414 7351274 9714621 10951898 11026911 16427847 19429242 22053822 22667449 32855694 38331643 45334898 68002347 76663286 114994929 136004694 229989858 268321501 475357381 536643002 804964503 950714762 1426072143 1609929006 2852144286 3327501667 6655003334 9982505001 19965010002 23292511669 34701088813 46585023338 69402177626 69877535007 104103266439 139755070014 208206532878 242907621691 485815243382 728722865073 1457445730146 1700353351837 3400706703674 5101060055511 10202120111022