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1022110011882 = 2341723139116089
BaseRepresentation
bin11101101111110101000…
…00010001000111101010
310121201020121022101220000
432313322200101013222
5113221240130340012
62101314552443430
7133562560516041
oct16677240210752
93551217271800
101022110011882
11364524501093
121461126a9576
13754ccb583cb
1437682a63558
151b8c2875ddc
hexedfa8111ea

1022110011882 has 160 divisors (see below), whose sum is σ = 2548667721600. Its totient is φ = 304510897152.

The previous prime is 1022110011851. The next prime is 1022110011883. The reversal of 1022110011882 is 2881100112201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1022110011883) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8746494 + ... + 8862582.

It is an arithmetic number, because the mean of its divisors is an integer number (15929173260).

Almost surely, 21022110011882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022110011882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274333860800).

1022110011882 is an abundant number, since it is smaller than the sum of its proper divisors (1526557709718).

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

1022110011882 is a wasteful number, since it uses less digits than its factorization.

1022110011882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116282 (or 116273 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 1022110011882 in words is "one trillion, twenty-two billion, one hundred ten million, eleven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 139 153 162 207 278 306 391 414 417 459 621 782 834 918 1173 1242 1251 1377 1863 2346 2363 2502 2754 3197 3519 3726 3753 4726 6394 7038 7089 7506 9591 10557 11259 14178 19182 21114 21267 22518 28773 31671 42534 54349 57546 63342 63801 86319 108698 116089 127602 163047 172638 191403 232178 258957 326094 348267 382806 489141 517914 696534 978282 1044801 1467423 1973513 2089602 2670047 2934846 3134403 3947026 4402269 5340094 5920539 6268806 8010141 8804538 9403209 11841078 16020282 16136371 17761617 18806418 24030423 32272742 35523234 45390799 48060846 48409113 53284851 72091269 90781598 96818226 106569702 136172397 144182538 145227339 159854553 216273807 272344794 274318307 290454678 319709106 371136533 408517191 432547614 435682017 548636614 742273066 817034382 822954921 871364034 1113409599 1225551573 1307046051 1645909842 2226819198 2451103146 2468864763 2614092102 3340228797 3676654719 4937729526 6309321061 6680457594 7353309438 7406594289 10020686391 12618642122 14813188578 18927963183 20041372782 22219782867 30062059173 37855926366 44439565734 56783889549 60124118346 113567779098 170351668647 340703337294 511055005941 1022110011882