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1023211202000 = 245313255115427
BaseRepresentation
bin11101110001111000010…
…00111110010111010000
310121211002100101122202012
432320330020332113100
5113231014031431000
62102020131042052
7133632061466621
oct16707410762720
93554070348665
101023211202000
11364a3a059569
1214637b440328
13756470349b0
1437748dd1a48
151b939394735
hexee3c23e5d0

1023211202000 has 160 divisors (see below), whose sum is σ = 2665659220224. Its totient is φ = 377628480000.

The previous prime is 1023211201979. The next prime is 1023211202017. The reversal of 1023211202000 is 2021123201.

It is a happy number.

It is a super-2 number, since 2×10232112020002 (a number of 25 digits) contains 22 as substring.

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, 66318287 + ... + 66333713.

Almost surely, 21023211202000 is an apocalyptic number.

1023211202000 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 1023211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332829610112).

1023211202000 is an abundant number, since it is smaller than the sum of its proper divisors (1642448018224).

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

1023211202000 is a wasteful number, since it uses less digits than its factorization.

1023211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014 (or 17998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1023211202000 its reverse (2021123201), we get a palindrome (1025232325201).

The spelling of 1023211202000 in words is "one trillion, twenty-three billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2551 2600 3250 5102 5200 6500 10204 12755 13000 15427 20408 25510 26000 30854 33163 40816 51020 61708 63775 66326 77135 102040 123416 127550 132652 154270 165815 200551 204080 246832 255100 265304 308540 318875 331630 385675 401102 510200 530608 617080 637750 663260 771350 802204 829075 1002755 1020400 1234160 1275500 1326520 1542700 1604408 1658150 1928375 2005510 2551000 2653040 3085400 3208816 3316300 3856750 4011020 4145375 5013775 5102000 6170800 6632600 7713500 8022040 8290750 10027550 13265200 15427000 16044080 16581500 20055100 25068875 30854000 33163000 39354277 40110200 50137750 66326000 78708554 80220400 100275500 157417108 196771385 200551000 314834216 393542770 401102000 511605601 629668432 787085540 983856925 1023211202 1574171080 1967713850 2046422404 2558028005 3148342160 3935427700 4092844808 4919284625 5116056010 7870855400 8185689616 9838569250 10232112020 12790140025 15741710800 19677138500 20464224040 25580280050 39354277000 40928448080 51160560100 63950700125 78708554000 102321120200 127901400250 204642240400 255802800500 511605601000 1023211202000