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103101111212112 = 243213211126089711
BaseRepresentation
bin10111011100010100011001…
…000111000001100001010000
3111112001100222201011120102200
4113130110121013001201100
5102003202033432241422
61003135555134243200
730500544435416316
oct2734243107014120
9445040881146380
10103101111212112
112a93aa32491072
12b691829656500
13456b515760730
141b661985860b6
15bdbd6aa9b2ac
hex5dc5191c1850

103101111212112 has 120 divisors (see below), whose sum is σ = 310882503579648. Its totient is φ = 31708389945600.

The previous prime is 103101111212063. The next prime is 103101111212119. The reversal of 103101111212112 is 211212111101301.

103101111212112 is a `hidden beast` number, since 10 + 310 + 1 + 11 + 121 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101111212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9093064 + ... + 16996647.

Almost surely, 2103101111212112 is an apocalyptic number.

103101111212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103101111212112 is an abundant number, since it is smaller than the sum of its proper divisors (207781392367536).

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

103101111212112 is a wasteful number, since it uses less digits than its factorization.

103101111212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26091849 (or 26091840 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 103101111212112 its reverse (211212111101301), we get a palindrome (314313222313413).

The spelling of 103101111212112 in words is "one hundred three trillion, one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2111 4222 6333 8444 12666 16888 18999 25332 27443 33776 37998 50664 54886 75996 82329 101328 109772 151992 164658 219544 246987 303984 329316 439088 493974 658632 987948 1317264 1975896 3951792 26089711 52179422 78269133 104358844 156538266 208717688 234807399 313076532 339166243 417435376 469614798 626153064 678332486 939229596 1017498729 1252306128 1356664972 1878459192 2034997458 2713329944 3052496187 3756918384 4069994916 5426659888 6104992374 8139989832 12209984748 16279979664 24419969496 48839938992 55075379921 110150759842 165226139763 220301519684 330452279526 440603039368 495678419289 660904559052 715979938973 881206078736 991356838578 1321809118104 1431959877946 1982713677156 2147939816919 2643618236208 2863919755892 3965427354312 4295879633838 5727839511784 6443819450757 7930854708624 8591759267676 11455679023568 12887638901514 17183518535352 25775277803028 34367037070704 51550555606056 103101111212112