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201010311111120 = 24357196297315511
BaseRepresentation
bin101101101101000101011100…
…001100001010000111010000
3222100201101202012020012101220
4231231011130030022013100
5202321323104121023440
61551302510114525040
760224341616133150
oct5555053414120720
9870641665205356
10201010311111120
1159058aa3326685
121a66518a596780
1388212638331b4
14378cd45656760
151838b15b698d0
hexb6d15c30a1d0

201010311111120 has 160 divisors (see below), whose sum is σ = 749632438548480. Its totient is φ = 43527044805120.

The previous prime is 201010311111089. The next prime is 201010311111131. The reversal of 201010311111120 is 21111113010102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201010311111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3148625836 + ... + 3148689675.

It is an arithmetic number, because the mean of its divisors is an integer number (4685202740928).

Almost surely, 2201010311111120 is an apocalyptic number.

201010311111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010311111120 is an abundant number, since it is smaller than the sum of its proper divisors (548622127437360).

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

201010311111120 is a wasteful number, since it uses less digits than its factorization.

201010311111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297315553 (or 6297315547 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 201010311111120 its reverse (21111113010102), we get a palindrome (222121424121222).

The spelling of 201010311111120 in words is "two hundred one trillion, ten billion, three hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 6297315511 12594631022 18891946533 25189262044 31486577555 37783893066 44081208577 50378524088 62973155110 75567786132 88162417154 94459732665 100757048176 119648994709 125946310220 132243625731 151135572264 176324834308 188919465330 220406042885 239297989418 251892620440 264487251462 302271144528 352649668616 358946984127 377838930660 440812085770 478595978836 503785240880 528974502924 598244973545 661218128655 705299337232 717893968254 755677861320 837542962963 881624171540 957191957672 1057949005848 1196489947090 1322436257310 1435787936508 1511355722640 1675085925926 1763248343080 1794734920635 1914383915344 2115898011696 2392979894180 2512628888889 2644872514620 2871575873016 3350171851852 3526496686160 3589469841270 4187714814815 4785959788360 5025257777778 5289745029240 5743151746032 6700343703704 7178939682540 8375429629630 9571919576720 10050515555556 10579490058480 12563144444445 13400687407408 14357879365080 16750859259260 20101031111112 25126288888890 28715758730160 33501718518520 40202062222224 50252577777780 67003437037040 100505155555560 201010311111120