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1030010032000 = 2753131491417
BaseRepresentation
bin11101111110100010110…
…00011100111110000000
310122110122011121000011201
432333101120130332000
5113333430032011000
62105102521350544
7134262415546465
oct16772130347600
93573564530151
101030010032000
113679088a1134
12147758338454
137618b763c21
1437bd1d4366c
151bbd61c296a
hexefd161cf80

1030010032000 has 128 divisors (see below), whose sum is σ = 2580416261280. Its totient is φ = 408858112000.

The previous prime is 1030010031983. The next prime is 1030010032039. The reversal of 1030010032000 is 2300100301.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1850292 + ... + 2341708.

Almost surely, 21030010032000 is an apocalyptic number.

1030010032000 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 1030010032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290208130640).

1030010032000 is an abundant number, since it is smaller than the sum of its proper divisors (1550406229280).

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

1030010032000 is an equidigital number, since it uses as much as digits as its factorization.

1030010032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491577 (or 491555 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1030010032000 its reverse (2300100301), we get a palindrome (1032310132301).

The spelling of 1030010032000 in words is "one trillion, thirty billion, ten million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 262 320 400 500 524 640 655 800 1000 1048 1310 1600 2000 2096 2620 3200 3275 4000 4192 5240 6550 8000 8384 10480 13100 16000 16375 16768 20960 26200 32750 41920 52400 65500 83840 104800 131000 209600 262000 419200 491417 524000 982834 1048000 1965668 2096000 2457085 3931336 4914170 7862672 9828340 12285425 15725344 19656680 24570850 31450688 39313360 49141700 61427125 62901376 64375627 78626720 98283400 122854250 128751254 157253440 196566800 245708500 257502508 314506880 321878135 393133600 491417000 515005016 643756270 786267200 982834000 1030010032 1287512540 1572534400 1609390675 1965668000 2060020064 2575025080 3218781350 3931336000 4120040128 5150050160 6437562700 7862672000 8046953375 8240080256 10300100320 12875125400 16093906750 20600200640 25750250800 32187813500 41200401280 51500501600 64375627000 103001003200 128751254000 206002006400 257502508000 515005016000 1030010032000