Search a number
-
+
10211103341040 = 2435729209587507
BaseRepresentation
bin1001010010010111010100…
…1011111111100111110000
31100011011122100102002211010
42110211311023333213300
52314244314423403130
633414525514150520
72102504442213060
oct224456513774760
940134570362733
1010211103341040
1132875606a6728
12118ab91a22440
13590b97915484
14274311b013a0
1512a93306b0b0
hex949752ff9f0

10211103341040 has 160 divisors (see below), whose sum is σ = 37423945428480. Its totient is φ = 2253484864512.

The previous prime is 10211103341029. The next prime is 10211103341051. The reversal of 10211103341040 is 4014330111201.

It is an interprime number because it is at equal distance from previous prime (10211103341029) and next prime (10211103341051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10211103340998 and 10211103341016.

It is a congruent number.

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, 104745034 + ... + 104842473.

It is an arithmetic number, because the mean of its divisors is an integer number (233899658928).

Almost surely, 210211103341040 is an apocalyptic number.

10211103341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211103341040 is an abundant number, since it is smaller than the sum of its proper divisors (27212842087440).

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

10211103341040 is a wasteful number, since it uses less digits than its factorization.

10211103341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209587559 (or 209587553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10211103341040 its reverse (4014330111201), we get a palindrome (14225433452241).

The spelling of 10211103341040 in words is "ten trillion, two hundred eleven billion, one hundred three million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 209587507 419175014 628762521 838350028 1047937535 1257525042 1467112549 1676700056 2095875070 2515050084 2934225098 3143812605 3353400112 4191750140 4401337647 5030100168 5868450196 6078037703 6287625210 7335562745 8383500280 8802675294 10060200336 11736900392 12156075406 12575250420 14671125490 16767000560 17605350588 18234113109 22006688235 23473800784 24312150812 25150500840 29342250980 30390188515 35210701176 36468226218 42546263921 44013376470 48624301624 50301001680 58684501960 60780377030 70421402352 72936452436 85092527842 88026752940 91170565545 97248603248 117369003920 121560754060 127638791763 145872904872 170185055684 176053505880 182341131090 212731319605 243121508120 255277583526 291745809744 340370111368 352107011760 364682262180 425462639210 486243016240 510555167052 638193958815 680740222736 729364524360 850925278420 1021110334104 1276387917630 1458729048720 1701850556840 2042220668208 2552775835260 3403701113680 5105551670520 10211103341040