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130212310400 = 2752231769189
BaseRepresentation
bin111100101000101000…
…0100010110110000000
3110110002201102201201222
41321101100202312000
54113133322413100
6135452501414212
712256532243054
oct1712120426600
9413081381658
10130212310400
115024a500077
122129ba0a368
13c381b7c1a3
146433773c64
1535c1800485
hex1e51422d80

130212310400 has 96 divisors (see below), whose sum is σ = 335650726800. Its totient is φ = 49820334080.

The previous prime is 130212310399. The next prime is 130212310427. The reversal of 130212310400 is 4013212031.

130212310400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810995 + ... + 958194.

Almost surely, 2130212310400 is an apocalyptic number.

130212310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130212310400 is an abundant number, since it is smaller than the sum of its proper divisors (205438416400).

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

130212310400 is a wasteful number, since it uses less digits than its factorization.

130212310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769236 (or 1769219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130212310400 its reverse (4013212031), we get a palindrome (134225522431).

The spelling of 130212310400 in words is "one hundred thirty billion, two hundred twelve million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 320 368 400 460 575 640 736 800 920 1150 1472 1600 1840 2300 2944 3200 3680 4600 7360 9200 14720 18400 36800 73600 1769189 3538378 7076756 8845945 14153512 17691890 28307024 35383780 40691347 44229725 56614048 70767560 81382694 88459450 113228096 141535120 162765388 176918900 203456735 226456192 283070240 325530776 353837800 406913470 566140480 651061552 707675600 813826940 1017283675 1132280960 1302123104 1415351200 1627653880 2034567350 2604246208 2830702400 3255307760 4069134700 5208492416 5661404800 6510615520 8138269400 13021231040 16276538800 26042462080 32553077600 65106155200 130212310400