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10111000221102 = 231129371249114311
BaseRepresentation
bin1001001100100010011010…
…0100111001010110101110
31022210121020222201201121110
42103020212210321112232
52311124312024033402
633300532425012450
72062332003556254
oct223104644712656
938717228651543
1010111000221102
113249062039040
1211736b5624126
1358460393c121
1426d5370ba5d4
15128024c6256c
hex932269395ae

10111000221102 has 128 divisors (see below), whose sum is σ = 23456822400000. Its totient is φ = 2876003020800.

The previous prime is 10111000221071. The next prime is 10111000221169. The reversal of 10111000221102 is 20112200011101.

It is a super-2 number, since 2×101110002211022 (a number of 27 digits) contains 22 as substring.

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, 88394527 + ... + 88508837.

It is an arithmetic number, because the mean of its divisors is an integer number (183256425000).

Almost surely, 210111000221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111000221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728411200000).

10111000221102 is an abundant number, since it is smaller than the sum of its proper divisors (13345822178898).

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

10111000221102 is a wasteful number, since it uses less digits than its factorization.

10111000221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115642.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111000221102 its reverse (20112200011101), we get a palindrome (30223200232203).

The spelling of 10111000221102 in words is "ten trillion, one hundred eleven billion, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 37 58 66 74 87 111 174 222 319 407 638 814 957 1073 1221 1249 1914 2146 2442 2498 3219 3747 6438 7494 11803 13739 23606 27478 35409 36221 41217 46213 70818 72442 82434 92426 108663 114311 138639 217326 228622 277278 342933 398431 508343 685866 796862 1016686 1195293 1257421 1340177 1525029 2390586 2514842 2680354 3050058 3315019 3772263 4020531 4229507 6630038 7544526 8041062 8459014 9945057 12688521 14741947 19890114 25377042 29483894 36465209 44225841 46524577 72930418 88451682 93049154 109395627 122655703 139573731 142774439 218791254 245311406 279147462 285548878 367967109 428323317 735934218 856646634 1349212733 1570518829 2698425466 3141037658 4047638199 4140458731 4711556487 5282654243 8095276398 8280917462 9423112974 10565308486 12421376193 15847962729 24842752386 31695925458 45545046041 58109196673 91090092082 116218393346 136635138123 153196973047 174327590019 273270276246 306393946094 348655180038 459590919141 919181838282 1685166703517 3370333407034 5055500110551 10111000221102