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103112012433200 = 245219107126797851
BaseRepresentation
bin10111011100011110100010…
…110111111000011100110000
3111112002102010102201222110212
4113130132202313320130300
5102003341400140330300
61003145000553243252
730501411535314101
oct2734364267703460
9445072112658425
10103112012433200
112a9446169918a1
12b693970403528
13456c562081304
141b669102a23a8
15bdc2a7b27935
hex5dc7a2df8730

103112012433200 has 120 divisors (see below), whose sum is σ = 263201909267520. Its totient is φ = 38708847648000.

The previous prime is 103112012433193. The next prime is 103112012433223. The reversal of 103112012433200 is 2334210211301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62585726 + ... + 64212125.

It is an arithmetic number, because the mean of its divisors is an integer number (2193349243896).

Almost surely, 2103112012433200 is an apocalyptic number.

103112012433200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103112012433200 is an abundant number, since it is smaller than the sum of its proper divisors (160089896834320).

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

103112012433200 is a wasteful number, since it uses less digits than its factorization.

103112012433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126797995 (or 126797984 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 103112012433200 its reverse (2334210211301), we get a palindrome (105446222644501).

The spelling of 103112012433200 in words is "one hundred three trillion, one hundred twelve billion, twelve million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 107 152 190 200 214 304 380 400 428 475 535 760 856 950 1070 1520 1712 1900 2033 2140 2675 3800 4066 4280 5350 7600 8132 8560 10165 10700 16264 20330 21400 32528 40660 42800 50825 81320 101650 162640 203300 406600 813200 126797851 253595702 507191404 633989255 1014382808 1267978510 2028765616 2409159169 2535957020 3169946275 4818318338 5071914040 6339892550 9636636676 10143828080 12045795845 12679785100 13567370057 19273273352 24091591690 25359570200 27134740114 38546546704 48183183380 50719140400 54269480228 60228979225 67836850285 96366366760 108538960456 120457958450 135673700570 192732733520 217077920912 240915916900 257780031083 271347401140 339184251425 481831833800 515560062166 542694802280 678368502850 963663667600 1031120124332 1085389604560 1288900155415 1356737005700 2062240248664 2577800310830 2713474011400 4124480497328 5155600621660 5426948022800 6444500777075 10311201243320 12889001554150 20622402486640 25778003108300 51556006216600 103112012433200