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2132121300 = 22352173711299
BaseRepresentation
bin111111100010101…
…1001011011010100
312111120221222120120
41333011121123110
513331310340200
6551322431540
7103556506041
oct17705313324
95446858516
102132121300
119a4588321
124b60625b0
1327c95654a
1416324c1c8
15c72ae9a0
hex7f1596d4

2132121300 has 144 divisors (see below), whose sum is σ = 6708945600. Its totient is φ = 520611840.

The previous prime is 2132121289. The next prime is 2132121361. The reversal of 2132121300 is 31212312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2132121300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183051 + ... + 194349.

It is an arithmetic number, because the mean of its divisors is an integer number (46589900).

Almost surely, 22132121300 is an apocalyptic number.

2132121300 is a gapful number since it is divisible by the number (20) 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 2132121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354472800).

2132121300 is an abundant number, since it is smaller than the sum of its proper divisors (4576824300).

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

2132121300 is a wasteful number, since it uses less digits than its factorization.

2132121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2132121300 is about 46174.8990253363. The cubic root of 2132121300 is about 1287.0753405157.

Adding to 2132121300 its reverse (31212312), we get a palindrome (2163333612).

The spelling of 2132121300 in words is "two billion, one hundred thirty-two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 37 50 51 60 68 74 75 85 100 102 111 148 150 170 185 204 222 255 300 340 370 425 444 510 555 629 740 850 925 1020 1110 1258 1275 1700 1850 1887 2220 2516 2550 2775 3145 3700 3774 5100 5550 6290 7548 9435 11100 11299 12580 15725 18870 22598 31450 33897 37740 45196 47175 56495 62900 67794 94350 112990 135588 169485 188700 192083 225980 282475 338970 384166 418063 564950 576249 677940 768332 836126 847425 960415 1129900 1152498 1254189 1672252 1694850 1920830 2090315 2304996 2508378 2881245 3389700 3841660 4180630 4802075 5016756 5762490 6270945 7107071 8361260 9604150 10451575 11524980 12541890 14214142 14406225 19208300 20903150 21321213 25083780 28428284 28812450 31354725 35535355 41806300 42642426 57624900 62709450 71070710 85284852 106606065 125418900 142141420 177676775 213212130 355353550 426424260 533030325 710707100 1066060650 2132121300