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202330140100 = 2252112334871621
BaseRepresentation
bin1011110001101111010…
…0001110110111000100
3201100020201212001210121
42330123310032313010
511303333003440400
6232541005031324
720421633546244
oct2743364166704
9640221761717
10202330140100
11788980a8a20
1233267b55544
1316105cb7cba
149b15757b24
1553e2ceb21a
hex2f1bd0edc4

202330140100 has 144 divisors (see below), whose sum is σ = 482311380096. Its totient is φ = 73063296000.

The previous prime is 202330140091. The next prime is 202330140109. The reversal of 202330140100 is 1041033202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202330140091) and next prime (202330140109).

It is not an unprimeable number, because it can be changed into a prime (202330140109) 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, 124817290 + ... + 124818910.

It is an arithmetic number, because the mean of its divisors is an integer number (3349384584).

Almost surely, 2202330140100 is an apocalyptic number.

202330140100 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 202330140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241155690048).

202330140100 is an abundant number, since it is smaller than the sum of its proper divisors (279981239996).

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

202330140100 is a wasteful number, since it uses less digits than its factorization.

202330140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202330140100 its reverse (1041033202), we get a palindrome (203371173302).

The spelling of 202330140100 in words is "two hundred two billion, three hundred thirty million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 233 275 466 487 550 932 974 1100 1165 1621 1948 2330 2435 2563 3242 4660 4870 5126 5357 5825 6484 8105 9740 10252 10714 11650 12175 12815 16210 17831 21428 23300 24350 25630 26785 32420 35662 40525 48700 51260 53570 64075 71324 81050 89155 107140 113471 128150 133925 162100 178310 226942 256300 267850 356620 377693 445775 453884 535700 567355 755386 789427 891550 1134710 1248181 1510772 1578854 1783100 1888465 2269420 2496362 2836775 3157708 3776930 3947135 4154623 4992724 5673550 6240905 7553860 7894270 8309246 8683697 9442325 11347100 12481810 15788540 16618492 17367394 18884650 19735675 20773115 24963620 31204525 34734788 37769300 39471350 41546230 43418485 62409050 78942700 83092460 86836970 103865575 124818100 173673940 183936491 207731150 217092425 367872982 415462300 434184850 735745964 868369700 919682455 1839364910 2023301401 3678729820 4046602802 4598412275 8093205604 9196824550 10116507005 18393649100 20233014010 40466028020 50582535025 101165070050 202330140100