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10201212011010 = 2353731764744809
BaseRepresentation
bin1001010001110010011110…
…0111100100001000000010
31100010020010000010110212110
42110130213213210020002
52314114040233323020
633410212212440150
72102004354253146
oct224344747441002
940106100113773
1010201212011010
113283345265009
121189091319056
1358cc7c5b5b77
14273a54189226
1512a5549c68e0
hex947279e4202

10201212011010 has 128 divisors (see below), whose sum is σ = 25263479370240. Its totient is φ = 2634314655744.

The previous prime is 10201212010999. The next prime is 10201212011017. The reversal of 10201212011010 is 1011021210201.

It is a super-2 number, since 2×102012120110102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10201212011017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227637486 + ... + 227682294.

It is an arithmetic number, because the mean of its divisors is an integer number (197370932580).

Almost surely, 210201212011010 is an apocalyptic number.

10201212011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201212011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631739685120).

10201212011010 is an abundant number, since it is smaller than the sum of its proper divisors (15062267359230).

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

10201212011010 is a wasteful number, since it uses less digits than its factorization.

10201212011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45820.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201212011010 its reverse (1011021210201), we get a palindrome (11212233221211).

The spelling of 10201212011010 in words is "ten trillion, two hundred one billion, two hundred twelve million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 317 370 555 634 647 951 1110 1294 1585 1902 1941 3170 3235 3882 4755 6470 9510 9705 11729 19410 23458 23939 35187 44809 47878 58645 70374 71817 89618 117290 119695 134427 143634 175935 205099 224045 239390 268854 351870 359085 410198 448090 615297 672135 718170 1025495 1230594 1344270 1657933 2050990 3076485 3315866 4973799 6152970 7588663 8289665 9947598 14204453 15177326 16579330 22765989 24868995 28408906 28991423 37943315 42613359 45531978 49737990 57982846 71022265 75886630 85226718 86974269 113829945 142044530 144957115 173948538 213066795 227659890 289914230 426133590 434871345 525564761 869742690 1051129522 1072682651 1576694283 2145365302 2627823805 3153388566 3218047953 5255647610 5363413255 6436095906 7883471415 9190281091 10726826510 15766942830 16090239765 18380562182 27570843273 32180479530 45951405455 55141686546 91902810910 137854216365 275708432730 340040400367 680080800734 1020121201101 1700202001835 2040242402202 3400404003670 5100606005505 10201212011010