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1230133322000 = 245311461121291
BaseRepresentation
bin10001111001101001101…
…010001110000100010000
311100121012002212110202102
4101321221222032010100
5130123303112301000
62341040534135532
7154605564466532
oct21715152160420
94317162773672
101230133322000
114347732109a0
1217a4a91b15a8
138c00248c65b
1443778559852
1521eea39c3d5
hex11e69a8e110

1230133322000 has 160 divisors (see below), whose sum is σ = 3251933612928. Its totient is φ = 446347200000.

The previous prime is 1230133321997. The next prime is 1230133322029. The reversal of 1230133322000 is 2233310321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10081355 + ... + 10202645.

Almost surely, 21230133322000 is an apocalyptic number.

1230133322000 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 1230133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625966806464).

1230133322000 is an abundant number, since it is smaller than the sum of its proper divisors (2021800290928).

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

1230133322000 is a wasteful number, since it uses less digits than its factorization.

1230133322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121786 (or 121770 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1230133322000 its reverse (2233310321), we get a palindrome (1232366632321).

The spelling of 1230133322000 in words is "one trillion, two hundred thirty billion, one hundred thirty-three million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 461 500 550 880 922 1000 1100 1375 1844 2000 2200 2305 2750 3688 4400 4610 5071 5500 7376 9220 10142 11000 11525 18440 20284 22000 23050 25355 36880 40568 46100 50710 57625 81136 92200 101420 115250 121291 126775 184400 202840 230500 242582 253550 405680 461000 485164 507100 606455 633875 922000 970328 1014200 1212910 1267750 1334201 1940656 2028400 2425820 2535500 2668402 3032275 4851640 5071000 5336804 6064550 6671005 9703280 10142000 10673608 12129100 13342010 15161375 21347216 24258200 26684020 30322750 33355025 48516400 53368040 55915151 60645500 66710050 106736080 111830302 121291000 133420100 166775125 223660604 242582000 266840200 279575755 333550250 447321208 533680400 559151510 615066661 667100500 894642416 1118303020 1230133322 1334201000 1397878775 2236606040 2460266644 2668402000 2795757550 3075333305 4473212080 4920533288 5591515100 6150666610 6989393875 9841066576 11183030200 12301333220 13978787750 15376666525 22366060400 24602666440 27957575500 30753333050 49205332880 55915151000 61506666100 76883332625 111830302000 123013332200 153766665250 246026664400 307533330500 615066661000 1230133322000