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121032132302100 = 223528942711061353
BaseRepresentation
bin11011100001001111111101…
…010000001001010100010100
3120212112120002101210112101110
4123201033331100021110110
5111330442301332131400
61105225221034055020
734331166032043225
oct3341177520112424
9525476071715343
10121032132302100
1135623491424278
12116a8a0827a470
13526c386778206
1421c5db4bb924c
15ded4cbcdde50
hex6e13fd409514

121032132302100 has 144 divisors (see below), whose sum is σ = 354204226978560. Its totient is φ = 31905090201600.

The previous prime is 121032132302099. The next prime is 121032132302117. The reversal of 121032132302100 is 1203231230121.

It is a congruent number.

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, 113505024 + ... + 114566376.

It is an arithmetic number, because the mean of its divisors is an integer number (2459751576240).

Almost surely, 2121032132302100 is an apocalyptic number.

121032132302100 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 121032132302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177102113489280).

121032132302100 is an abundant number, since it is smaller than the sum of its proper divisors (233172094676460).

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

121032132302100 is a wasteful number, since it uses less digits than its factorization.

121032132302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065730 (or 1065723 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121032132302100 its reverse (1203231230121), we get a palindrome (122235363532221).

The spelling of 121032132302100 in words is "one hundred twenty-one trillion, thirty-two billion, one hundred thirty-two million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4271 4450 5340 6675 8542 8900 12813 13350 17084 21355 25626 26700 42710 51252 64065 85420 106775 128130 213550 256260 320325 380119 427100 640650 760238 1061353 1140357 1281300 1520476 1900595 2122706 2280714 3184059 3801190 4245412 4561428 5306765 5701785 6368118 7602380 9502975 10613530 11403570 12736236 15920295 19005950 21227060 22807140 26533825 28508925 31840590 38011900 53067650 57017850 63681180 79601475 94460417 106135300 114035700 159202950 188920834 283381251 318405900 377841668 472302085 566762502 944604170 1133525004 1416906255 1889208340 2361510425 2833812510 4533038663 4723020850 5667625020 7084531275 9066077326 9446041700 13599115989 14169062550 18132154652 22665193315 27198231978 28338125100 45330386630 54396463956 67995579945 90660773260 113325966575 135991159890 226651933150 271982319780 339977899725 403440441007 453303866300 679955799450 806880882014 1210321323021 1359911598900 1613761764028 2017202205035 2420642646042 4034404410070 4841285292084 6051606615105 8068808820140 10086011025175 12103213230210 20172022050350 24206426460420 30258033075525 40344044100700 60516066151050 121032132302100