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1010012130000 = 24325411222357
BaseRepresentation
bin11101011001010010110…
…10100000101011010000
310120120000111000022211200
432230221122200223100
5113022001101130000
62051554305111200
7132654020311266
oct16545132405320
93516014008750
101010012130000
1135a3865753a5
121438b7028500
1374322642213
1436c56046436
151b41571d500
hexeb296a0ad0

1010012130000 has 150 divisors (see below), whose sum is σ = 3532158623994. Its totient is φ = 269336544000.

The previous prime is 1010012129957. The next prime is 1010012130067. The reversal of 1010012130000 is 312100101.

It can be written as a sum of positive squares in 5 ways, for example, as 348203847744 + 661808282256 = 590088^2 + 813516^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 29 ways as a sum of consecutive naturals, for example, 5521179 + ... + 5701178.

Almost surely, 21010012130000 is an apocalyptic number.

1010012130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012130000 is an abundant number, since it is smaller than the sum of its proper divisors (2522146493994).

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

1010012130000 is a wasteful number, since it uses less digits than its factorization.

1010012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222391 (or 11222367 counting only the distinct ones).

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

Adding to 1010012130000 its reverse (312100101), we get a palindrome (1010324230101).

The spelling of 1010012130000 in words is "one trillion, ten billion, twelve million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 11222357 22444714 33667071 44889428 56111785 67334142 89778856 101001213 112223570 134668284 168335355 179557712 202002426 224447140 269336568 280558925 336670710 404004852 448894280 505006065 538673136 561117850 673341420 808009704 841676775 897788560 1010012130 1122235700 1346682840 1402794625 1616019408 1683353550 2020024260 2244471400 2525030325 2693365680 2805589250 3366707100 4040048520 4208383875 4488942800 5050060650 5611178500 6733414200 7013973125 8080097040 8416767750 10100121300 11222357000 12625151625 13466828400 14027946250 16833535500 20200242600 21041919375 22444714000 25250303250 28055892500 33667071000 40400485200 42083838750 50500606500 56111785000 63125758125 67334142000 84167677500 101001213000 112223570000 126251516250 168335355000 202002426000 252503032500 336670710000 505006065000 1010012130000