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121130033100 = 223521933763059
BaseRepresentation
bin111000011001111101…
…0011001111111001100
3102120122202112020111020
41300303322121333030
53441033242024400
6131351340554140
711515500202356
oct1606372317714
9376582466436
10121130033100
114740982277a
121b586252950
13b5653520cb
145c114620d6
15323e2c02a0
hex1c33e99fcc

121130033100 has 144 divisors (see below), whose sum is σ = 370015900800. Its totient is φ = 30509982720.

The previous prime is 121130033083. The next prime is 121130033147. The reversal of 121130033100 is 1330031121.

It is a super-2 number, since 2×1211300331002 (a number of 23 digits) contains 22 as substring.

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 121130033100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1889371 + ... + 1952429.

Almost surely, 2121130033100 is an apocalyptic number.

121130033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121130033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185007950400).

121130033100 is an abundant number, since it is smaller than the sum of its proper divisors (248885867700).

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

121130033100 is a wasteful number, since it uses less digits than its factorization.

121130033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63432 (or 63425 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 121130033100 its reverse (1330031121), we get a palindrome (122460064221).

The spelling of 121130033100 in words is "one hundred twenty-one billion, one hundred thirty million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 337 380 475 570 674 950 1011 1140 1348 1425 1685 1900 2022 2850 3370 4044 5055 5700 6403 6740 8425 10110 12806 16850 19209 20220 25275 25612 32015 33700 38418 50550 63059 64030 76836 96045 101100 126118 128060 160075 189177 192090 252236 315295 320150 378354 384180 480225 630590 640300 756708 945885 960450 1198121 1261180 1576475 1891770 1920900 2396242 3152950 3594363 3783540 4729425 4792484 5990605 6305900 7188726 9458850 11981210 14377452 17971815 18917700 21250883 23962420 29953025 35943630 42501766 59906050 63752649 71887260 85003532 89859075 106254415 119812100 127505298 179718150 212508830 255010596 318763245 359436300 403766777 425017660 531272075 637526490 807533554 1062544150 1211300331 1275052980 1593816225 1615067108 2018833885 2125088300 2422600662 3187632450 4037667770 4845201324 6056501655 6375264900 8075335540 10094169425 12113003310 20188338850 24226006620 30282508275 40376677700 60565016550 121130033100