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201012220022100 = 223523723975770749
BaseRepresentation
bin101101101101000111001101…
…111110000100110101010100
3222100201120200020011220222120
4231231013031332010311110
5202321341011311201400
61551303423345255540
760224440125455244
oct5555071576046524
9870646606156876
10201012220022100
1159059892908763
121a6656219345b0
1388214a9166a16
14378d086d9db24
151838bc8537ca0
hexb6d1cdf84d54

201012220022100 has 144 divisors (see below), whose sum is σ = 599813380320000. Its totient is φ = 51936301509120.

The previous prime is 201012220022087. The next prime is 201012220022129. The reversal of 201012220022100 is 1220022210102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012220022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35232475 + ... + 40538274.

Almost surely, 2201012220022100 is an apocalyptic number.

201012220022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012220022100 is an abundant number, since it is smaller than the sum of its proper divisors (398801160297900).

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

201012220022100 is a wasteful number, since it uses less digits than its factorization.

201012220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75771042 (or 75771035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201012220022100 its reverse (1220022210102), we get a palindrome (202232242232202).

The spelling of 201012220022100 in words is "two hundred one trillion, twelve billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 239 300 370 444 478 555 717 740 925 956 1110 1195 1434 1850 2220 2390 2775 2868 3585 3700 4780 5550 5975 7170 8843 11100 11950 14340 17686 17925 23900 26529 35372 35850 44215 53058 71700 88430 106116 132645 176860 221075 265290 442150 530580 663225 884300 1326450 2652900 75770749 151541498 227312247 303082996 378853745 454624494 757707490 909248988 1136561235 1515414980 1894268725 2273122470 2803517713 3788537450 4546244940 5607035426 5682806175 7577074900 8410553139 11214070852 11365612350 14017588565 16821106278 18109209011 22731224700 28035177130 33642212556 36218418022 42052765695 54327627033 56070354260 70087942825 72436836044 84105531390 90546045055 108655254066 140175885650 168211062780 181092090110 210263828475 217310508132 271638135165 280351771300 362184180220 420527656950 452730225275 543276270330 670040733407 841055313900 905460450550 1086552540660 1340081466814 1358190675825 1810920901100 2010122200221 2680162933628 2716381351650 3350203667035 4020244400442 5432762703300 6700407334070 8040488800884 10050611001105 13400814668140 16751018335175 20101222002210 33502036670350 40202444004420 50253055005525 67004073340700 100506110011050 201012220022100