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102203221003312 = 241113211829255371
BaseRepresentation
bin10111001111010000001010…
…101011101100110000110000
3111101212112101012022222122011
4113033100022223230300300
5101343444144034101222
61001211302255052304
730345640043522452
oct2717201253546060
9441775335288564
10102203221003312
112a624162907670
12b567803b11094
13450495110ccb0
141b3493b4782d2
15bc38188bcc77
hex5cf40aaecc30

102203221003312 has 160 divisors (see below), whose sum is σ = 234022819080960. Its totient is φ = 42627586176000.

The previous prime is 102203221003297. The next prime is 102203221003327. The reversal of 102203221003312 is 213300122302201.

It is an interprime number because it is at equal distance from previous prime (102203221003297) and next prime (102203221003327).

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 400086987 + ... + 400342357.

It is an arithmetic number, because the mean of its divisors is an integer number (1462642619256).

Almost surely, 2102203221003312 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 102203221003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117011409540480).

102203221003312 is an abundant number, since it is smaller than the sum of its proper divisors (131819598077648).

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

102203221003312 is a wasteful number, since it uses less digits than its factorization.

102203221003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256443 (or 256437 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102203221003312 its reverse (213300122302201), we get a palindrome (315503343305513).

The spelling of 102203221003312 in words is "one hundred two trillion, two hundred three billion, two hundred twenty-one million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 211 286 422 572 829 844 1144 1658 1688 2288 2321 2743 3316 3376 4642 5486 6632 9119 9284 10777 10972 13264 18238 18568 21554 21944 30173 36476 37136 43108 43888 60346 72952 86216 118547 120692 145904 172432 174919 237094 241384 255371 349838 474188 482768 510742 699676 948376 1021484 1399352 1896752 1924109 2042968 2273947 2798704 2809081 3319823 3848218 4085936 4547894 5618162 6639646 7696436 9095788 11236324 13279292 15392872 18191576 22472648 25013417 26558584 30785744 36383152 36518053 44945296 50026834 53117168 53883281 73036106 100053668 107766562 146072212 200107336 211702559 215533124 292144424 400214672 423405118 431066248 584288848 592716091 700482653 846810236 862132496 1185432182 1400965306 1693620472 2328728149 2370864364 2752133267 2801930612 3387240944 4657456298 4741728728 5504266534 5603861224 7705309183 9314912596 9483457456 11008533068 11207722448 15410618366 18629825192 22017066136 30273465937 30821236732 37259650384 44034132272 44669239949 60546931874 61642473464 89338479898 121093863748 123284946928 178676959796 242187727496 357353919592 484375454992 491361639439 580700119337 714707839184 982723278878 1161400238674 1965446557756 2322800477348 3930893115512 4645600954696 6387701312707 7861786231024 9291201909392 12775402625414 25550805250828 51101610501656 102203221003312