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1131210221000 = 235329118133029
BaseRepresentation
bin10000011101100001011…
…000100010010111001000
311000010211222121021012212
4100131201120202113020
5122013204304033000
62223400520524252
7144504305141336
oct20354130422710
94003758537185
101131210221000
113a681a751a72
121632a0020688
1382898b02b72
143ca72542b56
151e65a983c35
hex107616225c8

1131210221000 has 128 divisors (see below), whose sum is σ = 2740710492000. Its totient is φ = 436498048000.

The previous prime is 1131210220999. The next prime is 1131210221003. The reversal of 1131210221000 is 1220121311.

It can be written as a sum of positive squares in 16 ways, for example, as 122266311556 + 1008943909444 = 349666^2 + 1004462^2 .

It is not an unprimeable number, because it can be changed into a prime (1131210221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34232486 + ... + 34265514.

Almost surely, 21131210221000 is an apocalyptic number.

1131210221000 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 1131210221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370355246000).

1131210221000 is an abundant number, since it is smaller than the sum of its proper divisors (1609500271000).

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

1131210221000 is a wasteful number, since it uses less digits than its factorization.

1131210221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34260 (or 34246 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1131210221000 its reverse (1220121311), we get a palindrome (1132430342311).

The spelling of 1131210221000 in words is "one trillion, one hundred thirty-one billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1181 1450 2362 2900 3625 4724 5800 5905 7250 9448 11810 14500 23620 29000 29525 33029 34249 47240 59050 66058 68498 118100 132116 136996 147625 165145 171245 236200 264232 273992 295250 330290 342490 590500 660580 684980 825725 856225 957841 1181000 1321160 1369960 1651450 1712450 1915682 3302900 3424900 3831364 4128625 4281125 4789205 6605800 6849800 7662728 8257250 8562250 9578410 16514500 17124500 19156820 23946025 33029000 34249000 38313640 39007249 47892050 78014498 95784100 119730125 156028996 191568200 195036245 239460250 312057992 390072490 478920500 780144980 957841000 975181225 1131210221 1560289960 1950362450 2262420442 3900724900 4524840884 4875906125 5656051105 7801449800 9049681768 9751812250 11312102210 19503624500 22624204420 28280255525 39007249000 45248408840 56560511050 113121022100 141401277625 226242044200 282802555250 565605110500 1131210221000