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1010231023100 = 2252131753862487
BaseRepresentation
bin11101011001101100111…
…01100001010111111100
310120120120201220020201112
432230312131201113330
5113022423120214400
62052032124501152
7132662316004505
oct16546635412774
93516521806645
101010231023100
1135a489091a92
121439583aa7b8
1374358ab2b70
1436c77145bac
151b429a5a835
hexeb367615fc

1010231023100 has 144 divisors (see below), whose sum is σ = 2546871864768. Its totient is φ = 344442408960.

The previous prime is 1010231023099. The next prime is 1010231023111. The reversal of 1010231023100 is 13201320101.

It is a super-2 number, since 2×10102310231002 (a number of 25 digits) contains 22 as substring.

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, 740057 + ... + 1602543.

It is an arithmetic number, because the mean of its divisors is an integer number (17686610172).

Almost surely, 21010231023100 is an apocalyptic number.

1010231023100 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 1010231023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273435932384).

1010231023100 is an abundant number, since it is smaller than the sum of its proper divisors (1536640841668).

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

1010231023100 is a wasteful number, since it uses less digits than its factorization.

1010231023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862584 (or 862577 counting only the distinct ones).

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

Adding to 1010231023100 its reverse (13201320101), we get a palindrome (1023432343201).

The spelling of 1010231023100 in words is "one trillion, ten billion, two hundred thirty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 53 65 68 85 100 106 130 170 212 221 260 265 325 340 425 442 530 650 689 850 884 901 1060 1105 1300 1325 1378 1700 1802 2210 2650 2756 3445 3604 4420 4505 5300 5525 6890 9010 11050 11713 13780 17225 18020 22100 22525 23426 34450 45050 46852 58565 68900 90100 117130 234260 292825 585650 862487 1171300 1724974 3449948 4312435 8624870 11212331 14662279 17249740 21562175 22424662 29324558 43124350 44849324 45711811 56061655 58649116 73311395 86248700 91423622 112123310 146622790 182847244 190609627 224246620 228559055 280308275 293245580 366556975 381219254 457118110 560616550 594253543 733113950 762438508 777100787 914236220 953048135 1121233100 1142795275 1188507086 1466227900 1554201574 1906096270 2285590550 2377014172 2971267715 3108403148 3812192540 3885503935 4571181100 4765240675 5942535430 7771007870 9530481350 10102310231 11885070860 14856338575 15542015740 19060962700 19427519675 20204620462 29712677150 38855039350 40409240924 50511551155 59425354300 77710078700 101023102310 202046204620 252557755775 505115511550 1010231023100