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1010102000000 = 2756505051
BaseRepresentation
bin11101011001011101100…
…01010101100110000000
310120120020202010012022012
432230232301111212000
5113022142103000000
62052011235232052
7132656161223042
oct16545661254600
93516222105265
101010102000000
1135a422278025
12143921148628
1374338149c32
1436c63d5ba92
151b41d571735
hexeb2ec55980

1010102000000 has 112 divisors (see below), whose sum is σ = 2515363506060. Its totient is φ = 404040000000.

The previous prime is 1010101999987. The next prime is 1010102000029. The reversal of 1010102000000 is 2010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1747475 + ... + 2252525.

Almost surely, 21010102000000 is an apocalyptic number.

1010102000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257681753030).

1010102000000 is an abundant number, since it is smaller than the sum of its proper divisors (1505261506060).

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

1010102000000 is an frugal number, since it uses more digits than its factorization.

1010102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505095 (or 505058 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1010102000000 its reverse (2010101), we get a palindrome (1010104010101).

The spelling of 1010102000000 in words is "one trillion, ten billion, one hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 505051 1000000 1010102 2000000 2020204 2525255 4040408 5050510 8080816 10101020 12626275 16161632 20202040 25252550 32323264 40404080 50505100 63131375 64646528 80808160 101010200 126262750 161616320 202020400 252525500 315656875 323232640 404040800 505051000 631313750 808081600 1010102000 1262627500 1578284375 1616163200 2020204000 2525255000 3156568750 4040408000 5050510000 6313137500 7891421875 8080816000 10101020000 12626275000 15782843750 20202040000 25252550000 31565687500 40404080000 50505100000 63131375000 101010200000 126262750000 202020400000 252525500000 505051000000 1010102000000