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101000020212 = 223271337833251
BaseRepresentation
bin101111000010000010…
…0100000000011110100
3100122200212100122002100
41132010010200003310
53123322001121322
6114222044542100
710203606002220
oct1360404400364
9318625318070
10101000020212
1139919973093
12176a8851930
1396a7a55b90
144c61bb5780
152961e21dac
hex17841200f4

101000020212 has 144 divisors (see below), whose sum is σ = 322715166592. Its totient is φ = 25917408000.

The previous prime is 101000020201. The next prime is 101000020229. The reversal of 101000020212 is 212020000101.

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 = 101000020194 and 101000020203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295414 + ... + 537837.

Almost surely, 2101000020212 is an apocalyptic number.

101000020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000020212 is an abundant number, since it is smaller than the sum of its proper divisors (221715146380).

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

101000020212 is a wasteful number, since it uses less digits than its factorization.

101000020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833318 (or 833313 counting only the distinct ones).

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

Adding to 101000020212 its reverse (212020000101), we get a palindrome (313020020313).

The spelling of 101000020212 in words is "one hundred one billion, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 777 819 962 1036 1092 1332 1443 1554 1638 1924 2331 2886 3108 3276 3367 4329 4662 5772 6734 8658 9324 10101 13468 17316 20202 30303 40404 60606 121212 833251 1666502 2499753 3333004 4999506 5832757 7499259 9999012 10832263 11665514 14998518 17498271 21664526 23331028 29997036 30830287 32496789 34996542 43329052 52494813 61660574 64993578 69993084 75825841 92490861 97490367 104989626 123321148 129987156 151651682 184981722 194980734 209979252 215812009 227477523 277472583 303303364 369963444 389961468 400793731 431624018 454955046 554945166 647436027 682432569 801587462 863248036 909910092 1109890332 1202381193 1294872054 1364865138 1603174924 1942308081 2404762386 2589744108 2729730276 2805556117 3607143579 3884616162 4809524772 5611112234 7214287158 7769232324 8416668351 11222224468 14428574316 16833336702 25250005053 33666673404 50500010106 101000020212