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1023120201000 = 233532314827829
BaseRepresentation
bin11101110001101101011…
…01110101010100101000
310121210212000011022211210
432320312231311110220
5113230322232413000
62102003120353120
7133626605134602
oct16706655652450
93553760138753
101023120201000
113649a2754127
12146354a757a0
1375631222251
143773aca4172
151b9313bb350
hexee36b75528

1023120201000 has 128 divisors (see below), whose sum is σ = 3330923731200. Its totient is φ = 260969772800.

The previous prime is 1023120200983. The next prime is 1023120201001. The reversal of 1023120201000 is 1020213201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1023120201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7344915 + ... + 7482914.

It is an arithmetic number, because the mean of its divisors is an integer number (26022841650).

Almost surely, 21023120201000 is an apocalyptic number.

1023120201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023120201000 is an abundant number, since it is smaller than the sum of its proper divisors (2307803530200).

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

1023120201000 is a wasteful number, since it uses less digits than its factorization.

1023120201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14827876 (or 14827862 counting only the distinct ones).

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

Adding to 1023120201000 its reverse (1020213201), we get a palindrome (1024140414201).

The spelling of 1023120201000 in words is "one trillion, twenty-three billion, one hundred twenty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 14827829 29655658 44483487 59311316 74139145 88966974 118622632 148278290 177933948 222417435 296556580 341040067 355867896 370695725 444834870 593113160 682080134 741391450 889669740 1023120201 1112087175 1364160268 1482782900 1705200335 1779339480 1853478625 2046240402 2224174350 2728320536 2965565800 3410400670 3706957250 4092480804 4448348700 5115601005 5560435875 6820801340 7413914500 8184961608 8526001675 8896697400 10231202010 11120871750 13641602680 14827829000 17052003350 20462404020 22241743500 25578005025 34104006700 40924808040 42630008375 44483487000 51156010050 68208013400 85260016750 102312020100 127890025125 170520033500 204624040200 255780050250 341040067000 511560100500 1023120201000