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1312010100 = 2232529831483
BaseRepresentation
bin100111000110011…
…1010111101110100
310101102210000111200
41032030322331310
510141333310400
6334104532500
744340621222
oct11614727564
93342700450
101312010100
11613660675
12307481130
1317ba8174b
14c6369b12
157a2b3b00
hex4e33af74

1312010100 has 108 divisors (see below), whose sum is σ = 4119382176. Its totient is φ = 349277760.

The previous prime is 1312010057. The next prime is 1312010153. The reversal of 1312010100 is 10102131.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 883959 + ... + 885441.

Almost surely, 21312010100 is an apocalyptic number.

1312010100 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 1312010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059691088).

1312010100 is an abundant number, since it is smaller than the sum of its proper divisors (2807372076).

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

1312010100 is a wasteful number, since it uses less digits than its factorization.

1312010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1312010100 is about 36221.6799720830. The cubic root of 1312010100 is about 1094.7435441195.

Adding to 1312010100 its reverse (10102131), we get a palindrome (1322112231).

It can be divided in two parts, 13120 and 10100, that added together give a triangular number (23220 = T215).

The spelling of 1312010100 in words is "one billion, three hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 983 1483 1966 2949 2966 3932 4449 4915 5898 5932 7415 8847 8898 9830 11796 13347 14745 14830 17694 17796 19660 22245 24575 26694 29490 29660 35388 37075 44235 44490 49150 53388 58980 66735 73725 74150 88470 88980 98300 111225 133470 147450 148300 176940 221175 222450 266940 294900 333675 442350 444900 667350 884700 1334700 1457789 2915578 4373367 5831156 7288945 8746734 13120101 14577890 17493468 21866835 26240202 29155780 36444725 43733670 52480404 65600505 72889450 87467340 109334175 131201010 145778900 218668350 262402020 328002525 437336700 656005050 1312010100