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20300122101132 = 2235711012912411
BaseRepresentation
bin1001001110110011111011…
…00100010001010110001100
32122212200011102010220200000
410213121331210101112030
510130044122224214012
6111101425232204300
74163430643546236
oct447317544212614
978780142126600
1020300122101132
116517262780765
12233a371999690
13b433a74c3a23
145027616a5256
152530bd112ddc
hex12767d91158c

20300122101132 has 144 divisors (see below), whose sum is σ = 54498544498944. Its totient is φ = 6605345880000.

The previous prime is 20300122101073. The next prime is 20300122101137. The reversal of 20300122101132 is 23110122100302.

20300122101132 is a `hidden beast` number, since 20 + 300 + 1 + 2 + 210 + 1 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20300122101137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5514007 + ... + 8426417.

It is an arithmetic number, because the mean of its divisors is an integer number (378462114576).

Almost surely, 220300122101132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300122101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27249272249472).

20300122101132 is an abundant number, since it is smaller than the sum of its proper divisors (34198422397812).

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

20300122101132 is a wasteful number, since it uses less digits than its factorization.

20300122101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912602 (or 2912588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20300122101132 its reverse (23110122100302), we get a palindrome (43410244201434).

The spelling of 20300122101132 in words is "twenty trillion, three hundred billion, one hundred twenty-two million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 101 108 142 162 202 213 243 284 303 324 404 426 486 606 639 852 909 972 1212 1278 1818 1917 2556 2727 3636 3834 5454 5751 7171 7668 8181 10908 11502 14342 16362 17253 21513 23004 24543 28684 32724 34506 43026 49086 64539 69012 86052 98172 129078 193617 258156 387234 580851 774468 1161702 1742553 2323404 2912411 3485106 5824822 6970212 8737233 11649644 17474466 26211699 34948932 52423398 78635097 104846796 157270194 206781181 235905291 294153511 314540388 413562362 471810582 588307022 620343543 707715873 827124724 882460533 943621164 1176614044 1240687086 1415431746 1764921066 1861030629 2481374172 2647381599 2830863492 3529842132 3722061258 5294763198 5583091887 7444122516 7942144797 10589526396 11166183774 15884289594 16749275661 20884899281 22332367548 23826434391 31768579188 33498551322 41769798562 47652868782 50247826983 62654697843 66997102644 71479303173 83539597124 95305737564 100495653966 125309395686 142958606346 187964093529 200991307932 250618791372 285917212692 375928187058 563892280587 751856374116 1127784561174 1691676841761 2255569122348 3383353683522 5075030525283 6766707367044 10150061050566 20300122101132