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1310300210100 = 2235273671700143
BaseRepresentation
bin10011000100010011111…
…110101000001110110100
311122021010002000100012010
4103010103332220032310
5132431443323210400
62441535452524220
7163444314006420
oct23042376501664
94567102010163
101310300210100
11465771344522
12191b40a80670
139673a05720b
14475c1537b80
152413d334450
hex13113fa83b4

1310300210100 has 144 divisors (see below), whose sum is σ = 4344534376448. Its totient is φ = 298680946560.

The previous prime is 1310300210081. The next prime is 1310300210129. The reversal of 1310300210100 is 10120030131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 79372 + ... + 1620771.

Almost surely, 21310300210100 is an apocalyptic number.

1310300210100 is a gapful number since it is divisible by the number (10) 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 1310300210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172267188224).

1310300210100 is an abundant number, since it is smaller than the sum of its proper divisors (3034234166348).

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

1310300210100 is a wasteful number, since it uses less digits than its factorization.

1310300210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700534 (or 1700527 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1310300210100 its reverse (10120030131), we get a palindrome (1320420240231).

The spelling of 1310300210100 in words is "one trillion, three hundred ten billion, three hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 367 420 525 700 734 1050 1101 1468 1835 2100 2202 2569 3670 4404 5138 5505 7340 7707 9175 10276 11010 12845 15414 18350 22020 25690 27525 30828 36700 38535 51380 55050 64225 77070 110100 128450 154140 192675 256900 385350 770700 1700143 3400286 5100429 6800572 8500715 10200858 11901001 17001430 20401716 23802002 25502145 34002860 35703003 42503575 47604004 51004290 59505005 71406006 85007150 102008580 119010010 127510725 142812012 170014300 178515015 238020020 255021450 297525025 357030030 510042900 595050050 623952481 714060060 892575075 1190100100 1247904962 1785150150 1871857443 2495809924 3119762405 3570300300 3743714886 4367667367 6239524810 7487429772 8735334734 9359287215 12479049620 13103002101 15598812025 17470669468 18718574430 21838336835 26206004202 31197624050 37437148860 43676673670 46796436075 52412008404 62395248100 65515010505 87353347340 93592872150 109191684175 131030021010 187185744300 218383368350 262060042020 327575052525 436766736700 655150105050 1310300210100