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10121230111032 = 23321636263137699
BaseRepresentation
bin1001001101001000100001…
…0100110101000100111000
31022211120122221001222102200
42103102020110311010320
52311311234402023112
633305343503030200
72063143342315245
oct223221024650470
938746587058380
1010121230111032
1132524315a0827
12117568b59b360
1358557414a731
1426dc279a25cc
15128422dd0cdc
hex93488535138

10121230111032 has 96 divisors (see below), whose sum is σ = 27584438544000. Its totient is φ = 3352485837888.

The previous prime is 10121230111007. The next prime is 10121230111043. The reversal of 10121230111032 is 23011103212101.

10121230111032 is a `hidden beast` number, since 10 + 1 + 212 + 301 + 110 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10121230110996 and 10121230111014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73433719 + ... + 73571417.

It is an arithmetic number, because the mean of its divisors is an integer number (287337901500).

Almost surely, 210121230111032 is an apocalyptic number.

10121230111032 is a gapful number since it is divisible by the number (12) 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 10121230111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792219272000).

10121230111032 is an abundant number, since it is smaller than the sum of its proper divisors (17463208432968).

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

10121230111032 is a wasteful number, since it uses less digits than its factorization.

10121230111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144137 (or 144130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10121230111032 its reverse (23011103212101), we get a palindrome (33132333323133).

The spelling of 10121230111032 in words is "ten trillion, one hundred twenty-one billion, two hundred thirty million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 6263 11736 12526 18789 25052 37578 50104 56367 75156 112734 137699 150312 225468 275398 413097 450936 550796 826194 1020869 1101592 1239291 1652388 2041738 2478582 3062607 3304776 4083476 4957164 6125214 8166952 9187821 9914328 12250428 18375642 22444937 24500856 36751284 44889874 67334811 73502568 89779748 134669622 179559496 202004433 269339244 404008866 538678488 808017732 862408837 1616035464 1724817674 2587226511 3449635348 5174453022 6899270696 7761679533 10348906044 15523359066 20697812088 31046718132 62093436264 140572640431 281145280862 421717921293 562290561724 843435842586 1124581123448 1265153763879 1686871685172 2530307527758 3373743370344 5060615055516 10121230111032