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1020021231000 = 23353397856441
BaseRepresentation
bin11101101011111100000…
…00001100110110011000
310121111212000220100012010
432311332000030312120
5113203000413343000
62100331414545520
7133460035256622
oct16657600146630
93544760810163
101020021231000
113636524360a2
1214582b0682a0
1375259197ca5
1437525497c12
151b7ee2c7d50
hexed7e00cd98

1020021231000 has 128 divisors (see below), whose sum is σ = 3190486253760. Its totient is φ = 271320192000.

The previous prime is 1020021230989. The next prime is 1020021231059. The reversal of 1020021231000 is 1321200201.

1020021231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10200212310002 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 762780 + ... + 1619220.

Almost surely, 21020021231000 is an apocalyptic number.

1020021231000 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 1020021231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595243126880).

1020021231000 is an abundant number, since it is smaller than the sum of its proper divisors (2170465022760).

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

1020021231000 is a wasteful number, since it uses less digits than its factorization.

1020021231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856862 (or 856848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020021231000 its reverse (1321200201), we get a palindrome (1021342431201).

The spelling of 1020021231000 in words is "one trillion, twenty billion, twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 397 500 600 750 794 1000 1191 1500 1588 1985 2382 3000 3176 3970 4764 5955 7940 9528 9925 11910 15880 19850 23820 29775 39700 47640 49625 59550 79400 99250 119100 148875 198500 238200 297750 397000 595500 856441 1191000 1712882 2569323 3425764 4282205 5138646 6851528 8564410 10277292 12846615 17128820 20554584 21411025 25693230 34257640 42822050 51386460 64233075 85644100 102772920 107055125 128466150 171288200 214110250 256932300 321165375 340007077 428220500 513864600 642330750 680014154 856441000 1020021231 1284661500 1360028308 1700035385 2040042462 2569323000 2720056616 3400070770 4080084924 5100106155 6800141540 8160169848 8500176925 10200212310 13600283080 17000353850 20400424620 25500530775 34000707700 40800849240 42500884625 51001061550 68001415400 85001769250 102002123100 127502653875 170003538500 204004246200 255005307750 340007077000 510010615500 1020021231000