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1001202211020 = 22351110331146837
BaseRepresentation
bin11101001000111000100…
…11010101100011001100
310112201021111121001222010
432210130103111203030
5112400430231223040
62043540154021220
7132222503243304
oct16443423254314
93481244531863
101001202211020
11356675601920
12142058717810
137354a3854cb
143665bd90604
151b09c08be80
hexe91c4d58cc

1001202211020 has 96 divisors (see below), whose sum is σ = 3058534515456. Its totient is φ = 242690540800.

The previous prime is 1001202210997. The next prime is 1001202211021. The reversal of 1001202211020 is 201122021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001202210987 and 1001202211005.

It is not an unprimeable number, because it can be changed into a prime (1001202211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6745042 + ... + 6891878.

It is an arithmetic number, because the mean of its divisors is an integer number (31859734536).

Almost surely, 21001202211020 is an apocalyptic number.

1001202211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001202211020 is an abundant number, since it is smaller than the sum of its proper divisors (2057332304436).

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

1001202211020 is a wasteful number, since it uses less digits than its factorization.

1001202211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157191 (or 157189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001202211020 its reverse (201122021001), we get a palindrome (1202324232021).

The spelling of 1001202211020 in words is "one trillion, one billion, two hundred two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 10331 20662 30993 41324 51655 61986 103310 113641 123972 146837 154965 206620 227282 293674 309930 340923 440511 454564 568205 587348 619860 681846 734185 881022 1136410 1363692 1468370 1615207 1704615 1762044 2202555 2272820 2936740 3230414 3409230 4405110 4845621 6460828 6818460 8076035 8810220 9691242 16152070 19382484 24228105 32304140 48456210 96912420 1516973047 3033946094 4550919141 6067892188 7584865235 9101838282 15169730470 16686703517 18203676564 22754595705 30339460940 33373407034 45509191410 50060110551 66746814068 83433517585 91018382820 100120221102 166867035170 200240442204 250300552755 333734070340 500601105510 1001202211020