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120100001101020 = 223252692480380031
BaseRepresentation
bin11011010011101011110101…
…111001110011010011011100
3120202020110002120111022111200
4123103223311321303103130
5111220204300240213040
61103233102343315500
734203636662416503
oct3323536571632334
9522213076438450
10120100001101020
11352a4140691546
121157822744bb90
1352024c62335b5
142192c2a2d983a
15dd4123a0b630
hex6d3af5e734dc

120100001101020 has 72 divisors (see below), whose sum is σ = 365657624317440. Its totient is φ = 31907608705920.

The previous prime is 120100001101007. The next prime is 120100001101027. The reversal of 120100001101020 is 20101100001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100001100993 and 120100001101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100001101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240141596 + ... + 1240238435.

It is an arithmetic number, because the mean of its divisors is an integer number (5078578115520).

Almost surely, 2120100001101020 is an apocalyptic number.

120100001101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100001101020 is an abundant number, since it is smaller than the sum of its proper divisors (245557623216420).

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

120100001101020 is a wasteful number, since it uses less digits than its factorization.

120100001101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480380315 (or 2480380310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100001101020 its reverse (20101100001021), we get a palindrome (140201101102041).

The spelling of 120100001101020 in words is "one hundred twenty trillion, one hundred billion, one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 2480380031 4960760062 7441140093 9921520124 12401900155 14882280186 22323420279 24803800310 29764560372 37205700465 44646840558 49607600620 74411400930 89293681116 111617101395 148822801860 223234202790 446468405580 667222228339 1334444456678 2001666685017 2668888913356 3336111141695 4003333370034 6005000055051 6672222283390 8006666740068 10008333425085 12010000110102 13344444566780 20016666850170 24020000220204 30025000275255 40033333700340 60050000550510 120100001101020