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102330213222000 = 2435322137706749
BaseRepresentation
bin10111010001000110011100…
…000000100100011001110000
3111102022200011111121002222010
4113101012130000210121300
5101403034234041101000
61001345503451042520
730361054035545211
oct2721063400443160
9442280144532863
10102330213222000
112a672aaa691115
12b588345440440
13451390bb0756a
141b3ab472b3408
15bc6c9c651d50
hex5d119c024670

102330213222000 has 160 divisors (see below), whose sum is σ = 330061729608000. Its totient is φ = 27275722521600.

The previous prime is 102330213221933. The next prime is 102330213222001. The reversal of 102330213222000 is 222312033201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330213222001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9424626 + ... + 17131374.

It is an arithmetic number, because the mean of its divisors is an integer number (2062885810050).

Almost surely, 2102330213222000 is an apocalyptic number.

102330213222000 is a gapful number since it is divisible by the number (10) 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 102330213222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165030864804000).

102330213222000 is an abundant number, since it is smaller than the sum of its proper divisors (227731516386000).

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

102330213222000 is a wasteful number, since it uses less digits than its factorization.

102330213222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708988 (or 7708972 counting only the distinct ones).

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

Adding to 102330213222000 its reverse (222312033201), we get a palindrome (102552525255201).

The spelling of 102330213222000 in words is "one hundred two trillion, three hundred thirty billion, two hundred thirteen million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2213 3000 4426 6000 6639 8852 11065 13278 17704 22130 26556 33195 35408 44260 53112 55325 66390 88520 106224 110650 132780 165975 177040 221300 265560 276625 331950 442600 531120 553250 663900 829875 885200 1106500 1327800 1659750 2213000 2655600 3319500 4426000 6639000 7706749 13278000 15413498 23120247 30826996 38533745 46240494 61653992 77067490 92480988 115601235 123307984 154134980 184961976 192668725 231202470 308269960 369923952 385337450 462404940 578006175 616539920 770674900 924809880 963343625 1156012350 1541349800 1849619760 1926687250 2312024700 2890030875 3082699600 3853374500 4624049400 5780061750 7706749000 9248098800 11560123500 15413498000 17055035537 23120247000 34110071074 46240494000 51165106611 68220142148 85275177685 102330213222 136440284296 170550355370 204660426444 255825533055 272880568592 341100710740 409320852888 426375888425 511651066110 682201421480 818641705776 852751776850 1023302132220 1279127665275 1364402842960 1705503553700 2046604264440 2131879442125 2558255330550 3411007107400 4093208528880 4263758884250 5116510661100 6395638326375 6822014214800 8527517768500 10233021322200 12791276652750 17055035537000 20466042644400 25582553305500 34110071074000 51165106611000 102330213222000