Search a number
-
+
101020101212212 = 227131758512790149
BaseRepresentation
bin10110111110000010010011…
…001111110111100000110100
3111020200102112112201100001221
4112332002103033313200310
5101220103131402242322
6554503554400000124
730164314165316440
oct2676022317674064
9436612475640057
10101020101212212
112a208425600346
12b3b6457600044
13444a201a658a0
141ad3582b69820
15ba2b70ae59c7
hex5be0933f7834

101020101212212 has 96 divisors (see below), whose sum is σ = 230420140473600. Its totient is φ = 37606730803200.

The previous prime is 101020101212143. The next prime is 101020101212227. The reversal of 101020101212212 is 212212101020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34810914 + ... + 37601062.

It is an arithmetic number, because the mean of its divisors is an integer number (2400209796600).

Almost surely, 2101020101212212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020101212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115210070236800).

101020101212212 is an abundant number, since it is smaller than the sum of its proper divisors (129400039261388).

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

101020101212212 is a wasteful number, since it uses less digits than its factorization.

101020101212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796041 (or 2796039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101020101212212 its reverse (212212101020101), we get a palindrome (313232202232313).

It can be divided in two parts, 101020101 and 212212, that multiplied together give a palindrome (21437677673412).

The spelling of 101020101212212 in words is "one hundred one trillion, twenty billion, one hundred one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 3094 5851 6188 11702 23404 40957 76063 81914 99467 152126 163828 198934 304252 397868 532441 696269 1064882 1293071 1392538 2129764 2586142 2785076 2790149 5172284 5580298 9051497 11160596 18102994 19531043 36205988 36271937 39062086 47432533 72543874 78124172 94865066 145087748 189730132 253903559 332027731 507807118 616622929 664055462 1015614236 1233245858 1328110924 2466491716 4316360503 8632721006 16325161799 17265442012 32650323598 65300647196 114276132593 212227103387 228552265186 277527750583 424454206774 457104530372 555055501166 848908413548 1110111002332 1485589723709 1942694254081 2971179447418 3607860757579 3885388508162 5942358894836 7215721515158 7770777016324 14431443030316 25255025303053 50510050606106 101020101212212