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20123211000 = 2335311875651
BaseRepresentation
bin10010101111011011…
…111101010011111000
31220221102101000222010
4102233123331103320
5312203020223000
613124450125520
71311446320434
oct225733752370
956842330863
1020123211000
1185970342a2
123a972808a0
131b89087259
14d8c7d99c4
157cb9a7d50
hex4af6fd4f8

20123211000 has 128 divisors (see below), whose sum is σ = 62848431360. Its totient is φ = 5360720000.

The previous prime is 20123210957. The next prime is 20123211019. The reversal of 20123211000 is 11232102.

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, 3558175 + ... + 3563825.

It is an arithmetic number, because the mean of its divisors is an integer number (491003370).

Almost surely, 220123211000 is an apocalyptic number.

20123211000 is a gapful number since it is divisible by the number (20) 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 20123211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31424215680).

20123211000 is an abundant number, since it is smaller than the sum of its proper divisors (42725220360).

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

20123211000 is a wasteful number, since it uses less digits than its factorization.

20123211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6848 counting only the distinct ones).

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

Adding to 20123211000 its reverse (11232102), we get a palindrome (20134443102).

The spelling of 20123211000 in words is "twenty billion, one hundred twenty-three million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1187 1500 2374 3000 3561 4748 5651 5935 7122 9496 11302 11870 14244 16953 17805 22604 23740 28255 28488 29675 33906 35610 45208 47480 56510 59350 67812 71220 84765 89025 113020 118700 135624 141275 142440 148375 169530 178050 226040 237400 282550 296750 339060 356100 423825 445125 565100 593500 678120 706375 712200 847650 890250 1130200 1187000 1412750 1695300 1780500 2119125 2825500 3390600 3561000 4238250 5651000 6707737 8476500 13415474 16953000 20123211 26830948 33538685 40246422 53661896 67077370 80492844 100616055 134154740 160985688 167693425 201232110 268309480 335386850 402464220 503080275 670773700 804928440 838467125 1006160550 1341547400 1676934250 2012321100 2515401375 3353868500 4024642200 5030802750 6707737000 10061605500 20123211000