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100220301132021 = 3271987795468909
BaseRepresentation
bin10110110010011001011011…
…011100101100000011110101
3111010211222010002202120111200
4112302121123130230003311
5101114002134042211041
6553052323140323113
730052451326646130
oct2662313334540365
9433758102676450
10100220301132021
1129a2a211284334
12b2a74480a3499
1343bc970345b75
141aa698d1a5217
15b8be601441b6
hex5b265b72c0f5

100220301132021 has 48 divisors (see below), whose sum is σ = 174349142198400. Its totient is φ = 54192734688384.

The previous prime is 100220301132019. The next prime is 100220301132023. The reversal of 100220301132021 is 120231103022001.

100220301132021 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 20 + 301 + 1 + 320 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (100220301132019) and next prime (100220301132023).

It is not a de Polignac number, because 100220301132021 - 21 = 100220301132019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100220301131985 and 100220301132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220301132023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46684686 + ... + 48784223.

It is an arithmetic number, because the mean of its divisors is an integer number (3632273795800).

Almost surely, 2100220301132021 is an apocalyptic number.

It is an amenable number.

100220301132021 is a deficient number, since it is larger than the sum of its proper divisors (74128841066379).

100220301132021 is a wasteful number, since it uses less digits than its factorization.

100220301132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95469818 (or 95469815 counting only the distinct ones).

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

Adding to 100220301132021 its reverse (120231103022001), we get a palindrome (220451404154022).

The spelling of 100220301132021 in words is "one hundred trillion, two hundred twenty billion, three hundred one million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 877 1197 2631 6139 7893 16663 18417 49989 55251 116641 149967 349923 1049769 95468909 286406727 668282363 859220181 1813909271 2004847089 5441727813 6014541267 12697364897 16325183439 38092094691 83726233193 114276284073 251178699579 586083632351 753536098737 1590798430667 1758250897053 4772395292001 5274752691159 11135589014669 14317185876003 33406767044007 100220301132021