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1050231110100 = 22352127253110891
BaseRepresentation
bin11110100100001101010…
…01101111100111010100
310201101211102010012120020
433102012221233213110
5114201333131010400
62122245225305140
7135606464100114
oct17220651574724
93641742105506
101050231110100
1137544509a427
1214b6603351b0
1378061b95bb3
1438b8d737044
151c4bb55d2a0
hexf486a6f9d4

1050231110100 has 144 divisors (see below), whose sum is σ = 3064086552576. Its totient is φ = 277721136000.

The previous prime is 1050231110063. The next prime is 1050231110111. The reversal of 1050231110100 is 10111320501.

It is a super-2 number, since 2×10502311101002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1050231110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96425655 + ... + 96436545.

Almost surely, 21050231110100 is an apocalyptic number.

1050231110100 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 1050231110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532043276288).

1050231110100 is an abundant number, since it is smaller than the sum of its proper divisors (2013855442476).

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

1050231110100 is a wasteful number, since it uses less digits than its factorization.

1050231110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 1050231110100 its reverse (10111320501), we get a palindrome (1060342430601).

The spelling of 1050231110100 in words is "one trillion, fifty billion, two hundred thirty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2531 2540 3175 3810 5062 6350 7593 7620 9525 10124 10891 12655 12700 15186 19050 21782 25310 30372 32673 37965 38100 43564 50620 54455 63275 65346 75930 108910 126550 130692 151860 163365 189825 217820 253100 272275 321437 326730 379650 544550 642874 653460 759300 816825 964311 1089100 1285748 1383157 1607185 1633650 1928622 2766314 3214370 3267300 3857244 4149471 4821555 5532628 6428740 6915785 8035925 8298942 9643110 13831570 16071850 16597884 19286220 20747355 24107775 27565121 27663140 32143700 34578925 41494710 48215550 55130242 69157850 82695363 82989420 96431100 103736775 110260484 137825605 138315700 165390726 207473550 275651210 330781452 413476815 414947100 551302420 689128025 826953630 1378256050 1653907260 2067384075 2756512100 3500770367 4134768150 7001540734 8269536300 10502311101 14003081468 17503851835 21004622202 35007703670 42009244404 52511555505 70015407340 87519259175 105023111010 175038518350 210046222020 262557777525 350077036700 525115555050 1050231110100