Search a number
-
+
1031103221000 = 235312750316141
BaseRepresentation
bin11110000000100101000…
…10101000110100001000
310122120110100121202120012
433000102202220310020
5113343144411033000
62105403212251052
7134331461524436
oct17002242506410
93576410552505
101031103221000
11368319984216
12147a02470a88
137630409b718
1437c971cbd56
151bc4c160735
hexf0128a8d08

1031103221000 has 128 divisors (see below), whose sum is σ = 2436765327360. Its totient is φ = 408354912000.

The previous prime is 1031103220997. The next prime is 1031103221017. The reversal of 1031103221000 is 1223011301.

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, 63872930 + ... + 63889070.

It is an arithmetic number, because the mean of its divisors is an integer number (19037229120).

Almost surely, 21031103221000 is an apocalyptic number.

1031103221000 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 1031103221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218382663680).

1031103221000 is an abundant number, since it is smaller than the sum of its proper divisors (1405662106360).

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

1031103221000 is a wasteful number, since it uses less digits than its factorization.

1031103221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1031103221000 its reverse (1223011301), we get a palindrome (1032326232301).

The spelling of 1031103221000 in words is "one trillion, thirty-one billion, one hundred three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 503 508 635 1000 1006 1016 1270 2012 2515 2540 3175 4024 5030 5080 6350 10060 12575 12700 15875 16141 20120 25150 25400 31750 32282 50300 62875 63500 63881 64564 80705 100600 125750 127000 127762 129128 161410 251500 255524 319405 322820 403525 503000 511048 638810 645640 807050 1277620 1597025 1614100 2017625 2049907 2555240 3194050 3228200 4035250 4099814 6388100 7985125 8070500 8118923 8199628 10249535 12776200 15970250 16141000 16237846 16399256 20499070 31940500 32475692 40594615 40998140 51247675 63881000 64951384 81189230 81996280 102495350 162378460 202973075 204990700 256238375 324756920 405946150 409981400 512476750 811892300 1014865375 1024953500 1031103221 1623784600 2029730750 2049907000 2062206442 4059461500 4124412884 5155516105 8118923000 8248825768 10311032210 20622064420 25777580525 41244128840 51555161050 103110322100 128887902625 206220644200 257775805250 515551610500 1031103221000