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10121101331220 = 223351129193304429
BaseRepresentation
bin1001001101001000000010…
…1001100100101100010100
31022211120022221202021202000
42103102000221210230110
52311311003420044340
633305323022515300
72063140216566015
oct223220051445424
938746287667660
1010121101331220
113252375932630
121175654435b30
1358555356b469
1426dc1483d00c
15128416943d30
hex93480a64b14

10121101331220 has 384 divisors, whose sum is σ = 35719137216000. Its totient is φ = 2356711096320.

The previous prime is 10121101331213. The next prime is 10121101331239. The reversal of 10121101331220 is 2213310112101.

10121101331220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 110 + 1 + 331 + 220 = 666.

It is a super-2 number, since 2×101211013312202 (a number of 27 digits) contains 22 as substring.

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 = 10121101331193 and 10121101331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33093966 + ... + 33398394.

It is an arithmetic number, because the mean of its divisors is an integer number (93018586500).

Almost surely, 210121101331220 is an apocalyptic number.

10121101331220 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 10121101331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859568608000).

10121101331220 is an abundant number, since it is smaller than the sum of its proper divisors (25598035884780).

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

10121101331220 is a wasteful number, since it uses less digits than its factorization.

10121101331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304680 (or 304672 counting only the distinct ones).

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

Adding to 10121101331220 its reverse (2213310112101), we get a palindrome (12334411443321).

The spelling of 10121101331220 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, three hundred thirty-one thousand, two hundred twenty".