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101010200221000 = 2353753812681663
BaseRepresentation
bin10110111101111001000101…
…000110100101010101001000
3111020122110222112020212110201
4112331321011012211111020
5101214422342224033000
6554455240111221544
730163513632301030
oct2675710506452510
9436573875225421
10101010200221000
112a204204770084
12b3b45538178b4
1344492b47329c5
141ad2cc3c1a8c0
15ba279179396a
hex5bde451a5548

101010200221000 has 128 divisors (see below), whose sum is σ = 270180436930560. Its totient is φ = 34625619744000.

The previous prime is 101010200220997. The next prime is 101010200221003. The reversal of 101010200221000 is 122002010101.

It is an interprime number because it is at equal distance from previous prime (101010200220997) and next prime (101010200221003).

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

It is not an unprimeable number, because it can be changed into a prime (101010200221003) 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 31 ways as a sum of consecutive naturals, for example, 36326169 + ... + 39007831.

It is an arithmetic number, because the mean of its divisors is an integer number (2110784663520).

Almost surely, 2101010200221000 is an apocalyptic number.

101010200221000 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 101010200221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135090218465280).

101010200221000 is an abundant number, since it is smaller than the sum of its proper divisors (169170236709560).

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

101010200221000 is a wasteful number, since it uses less digits than its factorization.

101010200221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687072 (or 2687058 counting only the distinct ones).

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

Adding to 101010200221000 its reverse (122002010101), we get a palindrome (101132202231101).

The spelling of 101010200221000 in words is "one hundred one trillion, ten billion, two hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 5381 7000 10762 21524 26905 37667 43048 53810 75334 107620 134525 150668 188335 215240 269050 301336 376670 538100 672625 753340 941675 1076200 1345250 1506680 1883350 2681663 2690500 3766700 4708375 5363326 5381000 7533400 9416750 10726652 13408315 18771641 18833500 21453304 26816630 37543282 37667000 53633260 67041575 75086564 93858205 107266520 134083150 150173128 187716410 268166300 335207875 375432820 469291025 536332600 670415750 750865640 938582050 1340831500 1877164100 2346455125 2681663000 3754328200 4692910250 9385820500 14430028603 18771641000 28860057206 57720114412 72150143015 101010200221 115440228824 144300286030 202020400442 288600572060 360750715075 404040800884 505051001105 577201144120 721501430150 808081601768 1010102002210 1443002860300 1803753575375 2020204004420 2525255005525 2886005720600 3607507150750 4040408008840 5050510011050 7215014301500 10101020022100 12626275027625 14430028603000 20202040044200 25252550055250 50505100110500 101010200221000