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1201200101020 = 2251312657172553
BaseRepresentation
bin10001011110101101000…
…110101111011010011100
311020211111200220120002101
4101132231012233122130
5124140024211213040
62315453530534444
7152532600251563
oct21365506573234
94224450816071
101201200101020
11423476161817
12174973597424
138937111615a
14421d1a82bda
15213a524609a
hex117ad1af69c

1201200101020 has 48 divisors (see below), whose sum is σ = 2542747461408. Its totient is φ = 476630036480.

The previous prime is 1201200101011. The next prime is 1201200101029. The reversal of 1201200101020 is 201010021021.

It is an interprime number because it is at equal distance from previous prime (1201200101011) and next prime (1201200101029).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201200100988 and 1201200101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201200101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6875064 + ... + 7047616.

It is an arithmetic number, because the mean of its divisors is an integer number (52973905446).

Almost surely, 21201200101020 is an apocalyptic number.

1201200101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201200101020 is an abundant number, since it is smaller than the sum of its proper divisors (1341547360388).

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

1201200101020 is a wasteful number, since it uses less digits than its factorization.

1201200101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175350 (or 175348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1201200101020 its reverse (201010021021), we get a palindrome (1402210122041).

The spelling of 1201200101020 in words is "one trillion, two hundred one billion, two hundred million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 2657 5314 10628 13285 26570 53140 172553 345106 348067 690212 696134 862765 1392268 1725530 1740335 3451060 3480670 6961340 22604443 45208886 90417772 113022215 226044430 452088860 458473321 916946642 1833893284 2292366605 4584733210 9169466420 60060005051 120120010102 240240020204 300300025255 600600050510 1201200101020