Search a number
-
+
100002020021010 = 232512171443763241
BaseRepresentation
bin10110101111001110001000…
…111000010101001100010010
3111010002002200201100020011200
4112233032020320111030102
5101101413114111133020
6552404143242452030
730030623165061312
oct2657161070251422
9433062621306150
10100002020021010
1129955689288928
12b27108a204016
1343a51c47b0153
141a9a1a31dd442
15b86436cd9590
hex5af388e15312

100002020021010 has 96 divisors (see below), whose sum is σ = 260241035915952. Its totient is φ = 26643026165760.

The previous prime is 100002020020999. The next prime is 100002020021021. The reversal of 100002020021010 is 10120020200001.

It is an interprime number because it is at equal distance from previous prime (100002020020999) and next prime (100002020021021).

It can be written as a sum of positive squares in 8 ways, for example, as 25188463853721 + 74813556167289 = 5018811^2 + 8649483^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100002020020983 and 100002020021001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1581252990 + ... + 1581316230.

Almost surely, 2100002020021010 is an apocalyptic number.

100002020021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100002020021010 is an abundant number, since it is smaller than the sum of its proper divisors (160239015894942).

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

100002020021010 is a wasteful number, since it uses less digits than its factorization.

100002020021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78908 (or 78905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002020021010 its reverse (10120020200001), we get a palindrome (110122040221011).

The spelling of 100002020021010 in words is "one hundred trillion, two billion, twenty million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1217 2434 3651 6085 7302 10953 12170 14437 18255 21906 28874 36510 43311 54765 63241 72185 86622 109530 126482 129933 144370 189723 216555 259866 316205 379446 433110 569169 632410 649665 948615 1138338 1299330 1897230 2845845 5691690 17569829 35139658 52709487 76964297 87849145 105418974 153928594 158128461 175698290 230892891 263547435 316256922 384821485 461785782 527094870 692678673 769642970 790642305 913010317 1154464455 1385357346 1581284610 1826020634 2308928910 2739030951 3463393365 4565051585 5478061902 6926786730 8217092853 9130103170 13695154755 16434185706 27390309510 41085464265 82170928530 1111133555789 2222267111578 3333400667367 5555667778945 6666801334734 10000202002101 11111335557890 16667003336835 20000404004202 33334006673670 50001010010505 100002020021010