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101000211000 = 23353132589749
BaseRepresentation
bin101111000010000010…
…1001110101000111000
3100122200212201022210120
41132010011032220320
53123322023223000
6114222053013240
710203610425363
oct1360405165070
9318625638716
10101000211000
1139919a93467
12176a8924220
1396a7ac1980
144c61c250da
152961e5d6a0
hex178414ea38

101000211000 has 128 divisors (see below), whose sum is σ = 339360840000. Its totient is φ = 24861580800.

The previous prime is 101000210999. The next prime is 101000211043. The reversal of 101000211000 is 112000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101000211000.

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, 1255875 + ... + 1333874.

Almost surely, 2101000211000 is an apocalyptic number.

101000211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000211000 is an abundant number, since it is smaller than the sum of its proper divisors (238360629000).

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

101000211000 is a wasteful number, since it uses less digits than its factorization.

101000211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589786 (or 2589772 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000211000 its reverse (112000101), we get a palindrome (101112211101).

The spelling of 101000211000 in words is "one hundred one billion, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 2589749 5179498 7769247 10358996 12948745 15538494 20717992 25897490 31076988 33666737 38846235 51794980 62153976 64743725 67333474 77692470 101000211 103589960 129487450 134666948 155384940 168333685 194231175 202000422 258974900 269333896 310769880 323718625 336667370 388462350 404000844 505001055 517949800 647437250 673334740 776924700 808001688 841668425 971155875 1010002110 1294874500 1346669480 1553849400 1683336850 1942311750 2020004220 2525005275 2589749000 3366673700 3884623500 4040008440 4208342125 5050010550 6733347400 7769247000 8416684250 10100021100 12625026375 16833368500 20200042200 25250052750 33666737000 50500105500 101000211000