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101212001010 = 23354713758217
BaseRepresentation
bin101111001000010110…
…1001001001011110010
3100200020122020101002000
41132100231021023302
53124240233013020
6114255100234430
710212061546101
oct1362055111362
9320218211060
10101212001010
1139a1859942a
121774783ba16
13970c9464c3
144c81dd6038
152975846090
hex1790b492f2

101212001010 has 128 divisors (see below), whose sum is σ = 277657943040. Its totient is φ = 26222349312.

The previous prime is 101212001003. The next prime is 101212001063. The reversal of 101212001010 is 10100212101.

It is a happy number.

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 = 101212000983 and 101212001001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1709422 + ... + 1767638.

It is an arithmetic number, because the mean of its divisors is an integer number (2169202680).

Almost surely, 2101212001010 is an apocalyptic number.

101212001010 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 101212001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138828971520).

101212001010 is an abundant number, since it is smaller than the sum of its proper divisors (176445942030).

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

101212001010 is a wasteful number, since it uses less digits than its factorization.

101212001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58417 (or 58411 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101212001010 its reverse (10100212101), we get a palindrome (111312213111).

The spelling of 101212001010 in words is "one hundred one billion, two hundred twelve million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 137 141 235 270 274 282 411 423 470 685 705 822 846 1233 1269 1370 1410 2055 2115 2466 2538 3699 4110 4230 6165 6345 6439 7398 12330 12690 12878 18495 19317 32195 36990 38634 57951 58217 64390 96585 115902 116434 173853 174651 193170 289755 291085 347706 349302 523953 579510 582170 869265 873255 1047906 1571859 1738530 1746510 2619765 2736199 3143718 5239530 5472398 7859295 7975729 8208597 13680995 15718590 15951458 16417194 23927187 24625791 27361990 39878645 41042985 47854374 49251582 71781561 73877373 79757290 82085970 119635935 123128955 143563122 147754746 215344683 239271870 246257910 358907805 369386865 374859263 430689366 717815610 738773730 749718526 1076723415 1124577789 1874296315 2153446830 2249155578 3373733367 3748592630 5622888945 6747466734 10121200101 11245777890 16868666835 20242400202 33737333670 50606000505 101212001010