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2131209102132 = 223211107131383951
BaseRepresentation
bin11111000000110101111…
…101100010001100110100
321112202000121220211220100
4133000311331202030310
5234404204012232012
64311021451234100
7306655230320355
oct37006575421464
97482017824810
102131209102132
11751927a83280
122a5061748930
13125c83a99346
1475218777d2c
153a6870788dc
hex1f035f62334

2131209102132 has 144 divisors (see below), whose sum is σ = 5977192725504. Its totient is φ = 634899720000.

The previous prime is 2131209102101. The next prime is 2131209102137. The reversal of 2131209102132 is 2312019021312.

It is a junction number, because it is equal to n+sod(n) for n = 2131209102096 and 2131209102105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131209102137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5358757 + ... + 5742707.

It is an arithmetic number, because the mean of its divisors is an integer number (41508282816).

Almost surely, 22131209102132 is an apocalyptic number.

2131209102132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131209102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988596362752).

2131209102132 is an abundant number, since it is smaller than the sum of its proper divisors (3845983623372).

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

2131209102132 is a wasteful number, since it uses less digits than its factorization.

2131209102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384210 (or 384205 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 2131209102132 in words is "two trillion, one hundred thirty-one billion, two hundred nine million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 131 132 198 214 262 321 393 396 428 524 642 786 963 1177 1179 1284 1441 1572 1926 2354 2358 2882 3531 3852 4323 4708 4716 5764 7062 8646 10593 12969 14017 14124 17292 21186 25938 28034 42051 42372 51876 56068 84102 126153 154187 168204 252306 308374 383951 462561 504612 616748 767902 925122 1151853 1387683 1535804 1850244 2303706 2775366 3455559 4223461 4607412 5550732 6911118 8446922 12670383 13822236 16893844 25340766 38011149 41082757 50297581 50681532 76022298 82165514 100595162 123248271 150892743 152044596 164331028 201190324 246496542 301785486 369744813 451910327 452678229 492993084 553273391 603570972 739489626 903820654 905356458 1106546782 1355730981 1478979252 1659820173 1807641308 1810712916 2213093564 2711461962 3319640346 4067192943 4979460519 5381841167 5422923924 6639280692 8134385886 9958921038 10763682334 16145523501 16268771772 19917842076 21527364668 32291047002 48436570503 59200252837 64582094004 96873141006 118400505674 177600758511 193746282012 236801011348 355201517022 532802275533 710403034044 1065604551066 2131209102132