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10220000112102 = 23113767363117203
BaseRepresentation
bin1001010010111000011101…
…1110011110110111100110
31100012000121101020220100110
42110232013132132313212
52314421030012041402
633423000410553450
72103241062423114
oct224560736366746
940160541226313
1010220000112102
1132903066a0490
121190855438886
13591984b91351
14274917524ab4
1512aca415656c
hex94b8779ede6

10220000112102 has 128 divisors (see below), whose sum is σ = 23250391769088. Its totient is φ = 2967303715200.

The previous prime is 10220000112013. The next prime is 10220000112131. The reversal of 10220000112102 is 20121100002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594073833 + ... + 594091035.

It is an arithmetic number, because the mean of its divisors is an integer number (181643685696).

Almost surely, 210220000112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220000112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625195884544).

10220000112102 is an abundant number, since it is smaller than the sum of its proper divisors (13030391656986).

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

10220000112102 is a wasteful number, since it uses less digits than its factorization.

10220000112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20954.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220000112102 its reverse (20121100002201), we get a palindrome (30341100114303).

The spelling of 10220000112102 in words is "ten trillion, two hundred twenty billion, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 67 74 111 134 201 222 402 407 737 814 1221 1474 2211 2442 2479 3631 4422 4958 7262 7437 10893 14874 17203 21786 27269 34406 39941 51609 54538 79882 81807 103218 119823 134347 163614 189233 239646 243277 268694 378466 403041 486554 567699 636511 729831 806082 1135398 1152601 1273022 1459662 1477817 1909533 2305202 2676047 2955634 3457803 3819066 4433451 5352094 6915606 7001621 8028141 8866902 9001249 12678611 14003242 16056282 18002498 21004863 25357222 27003747 38035833 42009726 42646237 54007494 62464093 76071666 85292474 99013739 124928186 127938711 187392279 198027478 255877422 297041217 374784558 469108607 594082434 687105023 938217214 1374210046 1407325821 2061315069 2311171441 2814651642 4122630138 4185094231 4622342882 6933514323 8370188462 12555282693 13867028646 25110565386 25422885851 46036036541 50845771702 76268657553 92072073082 138108109623 152537315106 154848486547 276216219246 309696973094 464545459641 929090919282 1703333352017 3406666704034 5110000056051 10220000112102