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201122200011120 = 24358773064331183
BaseRepresentation
bin101101101110101101101001…
…010010011100000101110000
3222101010002112220221020110020
4231232231221102130011300
5202330141231200323440
61551430132502203440
760235412415112533
oct5556555122340560
9871102486836406
10201122200011120
11590a149a730273
121a6829b5a23580
13882b9854784bb
14379451b654a1a
15183b9b39cb3d0
hexb6eb6949c170

201122200011120 has 160 divisors (see below), whose sum is σ = 624230129667072. Its totient is φ = 53567965910016.

The previous prime is 201122200011113. The next prime is 201122200011137. The reversal of 201122200011120 is 21110002221102.

201122200011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 201122200011120.

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, 6449723049 + ... + 6449754231.

Almost surely, 2201122200011120 is an apocalyptic number.

201122200011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122200011120 is an abundant number, since it is smaller than the sum of its proper divisors (423107929655952).

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

201122200011120 is a wasteful number, since it uses less digits than its factorization.

201122200011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62719 (or 62713 counting only the distinct ones).

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

Adding to 201122200011120 its reverse (21110002221102), we get a palindrome (222232202232222).

The spelling of 201122200011120 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 877 1754 2631 3508 4385 5262 7016 8770 10524 13155 14032 17540 21048 26310 30643 31183 35080 42096 52620 61286 62366 70160 91929 93549 105240 122572 124732 153215 155915 183858 187098 210480 245144 249464 306430 311830 367716 374196 459645 467745 490288 498928 612860 623660 735432 748392 919290 935490 1225720 1247320 1470864 1496784 1838580 1870980 2451440 2494640 3677160 3741960 7354320 7483920 26873911 27347491 53747822 54694982 80621733 82042473 107495644 109389964 134369555 136737455 161243466 164084946 214991288 218779928 268739110 273474910 322486932 328169892 403108665 410212365 429982576 437559856 537478220 546949820 644973864 656339784 806217330 820424730 955540669 1074956440 1093899640 1289947728 1312679568 1612434660 1640849460 1911081338 2149912880 2187799280 2866622007 3224869320 3281698920 3822162676 4777703345 5733244014 6449738640 6563397840 7644325352 9555406690 11466488028 14333110035 15288650704 19110813380 22932976056 28666220070 38221626760 45865952112 57332440140 76443253520 114664880280 229329760560 838009166713 1676018333426 2514027500139 3352036666852 4190045833565 5028055000278 6704073333704 8380091667130 10056110000556 12570137500695 13408146667408 16760183334260 20112220001112 25140275001390 33520366668520 40224440002224 50280550002780 67040733337040 100561100005560 201122200011120