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20122332213000 = 233537583884537
BaseRepresentation
bin1001001001101000110000…
…11101101010111100001000
32122020200020221002210221110
410210310120131222330020
510114141014021304000
6110444023302010320
74144535102462043
oct444643035527410
978220227083843
1020122332213000
116458918a45316
12230ba144169a0
13b2c6b27115a4
144d7cd7219c5a
1524d664972850
hex124d1876af08

20122332213000 has 128 divisors (see below), whose sum is σ = 62790026757120. Its totient is φ = 5365241561600.

The previous prime is 20122332212989. The next prime is 20122332213029. The reversal of 20122332213000 is 31223322102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22306732 + ... + 23191268.

It is an arithmetic number, because the mean of its divisors is an integer number (490547084040).

Almost surely, 220122332213000 is an apocalyptic number.

20122332213000 is a gapful number since it is divisible by the number (20) 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 20122332213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395013378560).

20122332213000 is an abundant number, since it is smaller than the sum of its proper divisors (42667694544120).

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

20122332213000 is a wasteful number, since it uses less digits than its factorization.

20122332213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892144 (or 892130 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20122332213000 its reverse (31223322102), we get a palindrome (20153555535102).

The spelling of 20122332213000 in words is "twenty trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7583 15166 22749 30332 37915 45498 60664 75830 90996 113745 151660 181992 189575 227490 303320 379150 454980 568725 758300 884537 909960 947875 1137450 1516600 1769074 1895750 2274900 2653611 2843625 3538148 3791500 4422685 4549800 5307222 5687250 7076296 7583000 8845370 10614444 11374500 13268055 17690740 21228888 22113425 22749000 26536110 35381480 44226850 53072220 66340275 88453700 106144440 110567125 132680550 176907400 221134250 265361100 331701375 442268500 530722200 663402750 884537000 1326805500 2653611000 6707444071 13414888142 20122332213 26829776284 33537220355 40244664426 53659552568 67074440710 80489328852 100611661065 134148881420 160978657704 167686101775 201223322130 268297762840 335372203550 402446644260 503058305325 670744407100 804893288520 838430508875 1006116610650 1341488814200 1676861017750 2012233221300 2515291526625 3353722035500 4024466442600 5030583053250 6707444071000 10061166106500 20122332213000