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10210220121332 = 22711299291230469
BaseRepresentation
bin1001010010010100000010…
…0010110001110011110100
31100011002100210110220011002
42110211000202301303310
52314241012322340312
633414302123502432
72102443526033360
oct224450042616364
940132323426132
1010210220121332
113287148095690
12118a986087a18
13590a8694586a
1427426a6b22a0
1512a8d07564c2
hex949408b1cf4

10210220121332 has 96 divisors (see below), whose sum is σ = 23069835936000. Its totient is φ = 3836697661440.

The previous prime is 10210220121329. The next prime is 10210220121341. The reversal of 10210220121332 is 23312102201201.

It is a congruent 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, 7682594 + ... + 8913062.

It is an arithmetic number, because the mean of its divisors is an integer number (240310791000).

Almost surely, 210210220121332 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 10210220121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534917968000).

10210220121332 is an abundant number, since it is smaller than the sum of its proper divisors (12859615814668).

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

10210220121332 is a wasteful number, since it uses less digits than its factorization.

10210220121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231449 (or 1231447 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10210220121332 its reverse (23312102201201), we get a palindrome (33522322322533).

The spelling of 10210220121332 in words is "ten trillion, two hundred ten billion, two hundred twenty million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 929 1276 1858 2233 3716 4466 6503 8932 10219 13006 20438 26012 26941 40876 53882 71533 107764 143066 188587 286132 296351 377174 592702 754348 1185404 1230469 2074457 2460938 4148914 4921876 8297828 8613283 13535159 17226566 27070318 34453132 35683601 54140636 71367202 94746113 142734404 189492226 249785207 378984452 392519611 499570414 785039222 999140828 1143105701 1570078444 2286211402 2747637277 4572422804 5495274554 8001739907 10990549108 12574162711 16003479814 25148325422 32006959628 33150065329 50296650844 66300130658 88019138977 132600261316 176038277954 232050457303 352076555908 364650718619 464100914606 729301437238 928201829212 1458602874476 2552555030333 5105110060666 10210220121332