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231121101200100 = 223524731489520549
BaseRepresentation
bin110100100011010000010011…
…001000110001101011100100
31010022022221221221000121120220
4310203100103020301223210
5220243142003401400400
62135315322414124340
766452643226000266
oct6443202310615344
91108287857017526
10231121101200100
11677079aa349341
1221b089991b06b0
139bc681b061cc7
14411046cad1b36
151babecc0a67a0
hexd23413231ae4

231121101200100 has 144 divisors (see below), whose sum is σ = 682961266848000. Its totient is φ = 60318936760320.

The previous prime is 231121101200083. The next prime is 231121101200183. The reversal of 231121101200100 is 1002101121132.

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 231121101200100.

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, 443734626 + ... + 444255174.

Almost surely, 2231121101200100 is an apocalyptic number.

231121101200100 is a gapful number since it is divisible by the number (20) 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 231121101200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341480633424000).

231121101200100 is an abundant number, since it is smaller than the sum of its proper divisors (451840165647900).

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

231121101200100 is a wasteful number, since it uses less digits than its factorization.

231121101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552102 (or 552095 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 231121101200100 its reverse (1002101121132), we get a palindrome (232123202321232).

The spelling of 231121101200100 in words is "two hundred thirty-one trillion, one hundred twenty-one billion, one hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 31489 62978 94467 125956 157445 188934 314890 377868 472335 520549 629780 787225 944670 1041098 1479983 1561647 1574450 1889340 2082196 2361675 2602745 2959966 3123294 3148900 4439949 4723350 5205490 5919932 6246588 7399915 7808235 8879898 9446700 10410980 13013725 14799830 15616470 17759796 22199745 24465803 26027450 29599660 31232940 36999575 39041175 44399490 48931606 52054900 73397409 73999150 78082350 88798980 97863212 110998725 122329015 146794818 147998300 156164700 221997450 244658030 293589636 366987045 443994900 489316060 611645075 733974090 1223290150 1467948180 1834935225 2446580300 3669870450 7339740900 16391567461 32783134922 49174702383 65566269844 81957837305 98349404766 163915674610 196698809532 245873511915 327831349220 409789186525 491747023830 770403670667 819578373050 983494047660 1229367559575 1540807341334 1639156746100 2311211012001 2458735119150 3081614682668 3852018353335 4622422024002 4917470238300 7704036706670 9244844048004 11556055060005 15408073413340 19260091766675 23112110120010 38520183533350 46224220240020 57780275300025 77040367066700 115560550600050 231121101200100