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10121023213020 = 2232556227906739
BaseRepresentation
bin1001001101000111101111…
…1111100100110111011100
31022211120010111202110201100
42103101323333210313130
52311310323420304040
633305311152313100
72063135250601116
oct223217377446734
938746114673640
1010121023213020
113252335827235
121175632242790
13585540319785
1426dc083063b6
1512840eb62b30
hex9347bfe4ddc

10121023213020 has 36 divisors (see below), whose sum is σ = 30700437080040. Its totient is φ = 2698939523424.

The previous prime is 10121023212977. The next prime is 10121023213027. The reversal of 10121023213020 is 2031232012101.

10121023213020 is a `hidden beast` number, since 10 + 121 + 0 + 232 + 1 + 302 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101210232130202 (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 = 10121023212984 and 10121023213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121023213027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28113953190 + ... + 28113953549.

It is an arithmetic number, because the mean of its divisors is an integer number (852789918890).

Almost surely, 210121023213020 is an apocalyptic number.

10121023213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121023213020 is an abundant number, since it is smaller than the sum of its proper divisors (20579413867020).

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

10121023213020 is a wasteful number, since it uses less digits than its factorization.

10121023213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56227906754 (or 56227906749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121023213020 its reverse (2031232012101), we get a palindrome (12152255225121).

The spelling of 10121023213020 in words is "ten trillion, one hundred twenty-one billion, twenty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56227906739 112455813478 168683720217 224911626956 281139533695 337367440434 506051160651 562279067390 674734880868 843418601085 1012102321302 1124558134780 1686837202170 2024204642604 2530255803255 3373674404340 5060511606510 10121023213020