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1031013010000 = 2454711452131
BaseRepresentation
bin11110000000011010010…
…10100000101001010000
310122120020001212120100001
433000031022200221100
5113343003312310000
62105350230535344
7134326314662551
oct17001512405120
93576201776301
101031013010000
11368282a69376
12147998207554
13762bb4a472c
1437c89228328
151bc4429146a
hexf00d2a0a50

1031013010000 has 100 divisors (see below), whose sum is σ = 2531344885344. Its totient is φ = 406596400000.

The previous prime is 1031013009997. The next prime is 1031013010087. The reversal of 1031013010000 is 103101301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16066 + ... + 1436065.

Almost surely, 21031013010000 is an apocalyptic number.

1031013010000 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 1031013010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265672442672).

1031013010000 is an abundant number, since it is smaller than the sum of its proper divisors (1500331875344).

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

1031013010000 is an equidigital number, since it uses as much as digits as its factorization.

1031013010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452230 (or 1452209 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1031013010000 its reverse (103101301), we get a palindrome (1031116111301).

1031013010000 divided by its reverse (103101301) gives a 4-th power (10000 = 104).

The spelling of 1031013010000 in words is "one trillion, thirty-one billion, thirteen million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 625 710 1000 1136 1250 1420 1775 2000 2500 2840 3550 5000 5680 7100 8875 10000 14200 17750 28400 35500 44375 71000 88750 142000 177500 355000 710000 1452131 2904262 5808524 7260655 11617048 14521310 23234096 29042620 36303275 58085240 72606550 103101301 116170480 145213100 181516375 206202602 290426200 363032750 412405204 515506505 580852400 726065500 824810408 907581875 1031013010 1452131000 1649620816 1815163750 2062026020 2577532525 2904262000 3630327500 4124052040 5155065050 7260655000 8248104080 10310130100 12887662625 14521310000 20620260200 25775325250 41240520400 51550650500 64438313125 103101301000 128876626250 206202602000 257753252500 515506505000 1031013010000