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1031202141100 = 22521923153115413
BaseRepresentation
bin11110000000110000110…
…11111111001110101100
310122120201020202102102121
433000120123333032230
5113343400222003400
62105421104402324
7134334102401305
oct17003033771654
93576636672377
101031202141100
1136836a7a836a
12147a2b6163a4
137631b724821
1437ca63bb7ac
151bc55ba021a
hexf0186ff3ac

1031202141100 has 144 divisors (see below), whose sum is σ = 2459660071680. Its totient is φ = 373512902400.

The previous prime is 1031202141097. The next prime is 1031202141121. The reversal of 1031202141100 is 11412021301.

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, 66896994 + ... + 66912406.

It is an arithmetic number, because the mean of its divisors is an integer number (17080972720).

Almost surely, 21031202141100 is an apocalyptic number.

1031202141100 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 1031202141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229830035840).

1031202141100 is an abundant number, since it is smaller than the sum of its proper divisors (1428457930580).

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

1031202141100 is a wasteful number, since it uses less digits than its factorization.

1031202141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000 (or 16993 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1031202141100 its reverse (11412021301), we get a palindrome (1042614162401).

The spelling of 1031202141100 in words is "one trillion, thirty-one billion, two hundred two million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1531 1748 1900 2185 2300 3062 4370 6124 7655 8740 10925 15310 15413 21850 29089 30620 30826 35213 38275 43700 58178 61652 70426 76550 77065 116356 140852 145445 153100 154130 176065 290890 292847 308260 352130 354499 385325 581780 585694 669047 704260 708998 727225 770650 880325 1171388 1338094 1417996 1454450 1464235 1541300 1760650 1772495 2676188 2908900 2928470 3345235 3521300 3544990 5856940 6690470 6735481 7089980 7321175 8862475 13380940 13470962 14642350 16726175 17724950 23597303 26941924 29284700 33452350 33677405 35449900 47194606 66904700 67354810 94389212 117986515 134709620 168387025 235973030 336774050 448348757 471946060 542737969 589932575 673548100 896697514 1085475938 1179865150 1793395028 2170951876 2241743785 2359730300 2713689845 4483487570 5427379690 8966975140 10312021411 10854759380 11208718925 13568449225 20624042822 22417437850 27136898450 41248085644 44834875700 51560107055 54273796900 103120214110 206240428220 257800535275 515601070550 1031202141100