Search a number
-
+
101100102211010 = 257233119763102497
BaseRepresentation
bin10110111111001100110011…
…101011011101010111000010
3111020222002000221201011011102
4112333030303223131113002
5101222411002131223020
6555004425031014402
730203145531511130
oct2677146353352702
9436862027634142
10101100102211010
112a239349029881
12b409a6380a402
13445491115a1b6
141ad73b1ac4750
15ba4ca4210475
hex5bf333add5c2

101100102211010 has 128 divisors (see below), whose sum is σ = 224034008039424. Its totient is φ = 32084331079680.

The previous prime is 101100102210977. The next prime is 101100102211039. The reversal of 101100102211010 is 10112201001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100102210982 and 101100102211000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986320082 + ... + 986422578.

It is an arithmetic number, because the mean of its divisors is an integer number (1750265687808).

Almost surely, 2101100102211010 is an apocalyptic number.

101100102211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100102211010 is an abundant number, since it is smaller than the sum of its proper divisors (122933905828414).

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

101100102211010 is a wasteful number, since it uses less digits than its factorization.

101100102211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122328.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100102211010 its reverse (10112201001101), we get a palindrome (111212303212111).

The spelling of 101100102211010 in words is "one hundred one trillion, one hundred billion, one hundred two million, two hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 14 23 31 35 46 62 70 115 155 161 217 230 310 322 434 713 805 1085 1426 1610 2170 3565 4991 7130 9982 19763 24955 39526 49910 98815 102497 138341 197630 204994 276682 454549 512485 612653 691705 717479 909098 1024970 1225306 1383410 1434958 2272745 2357431 3063265 3177407 3181843 3587395 4288571 4545490 4714862 6126530 6354814 6363686 7174790 8577142 11787155 14091019 15887035 15909215 16502017 21442855 22241849 23574310 28182038 31774070 31818430 33004034 42885710 44483698 70455095 73080361 82510085 98637133 111209245 140910190 146160722 165020170 197274266 222418490 365401805 493185665 511562527 730803610 986371330 1023125054 2025648211 2557812635 4051296422 5115625270 10128241055 14179537477 20256482110 28359074954 46589908853 62795094541 70897687385 93179817706 125590189082 141795374770 232949544265 313975472705 326129361971 439565661787 465899088530 627950945410 652258723942 879131323574 1444287174443 1630646809855 2197828308935 2888574348886 3261293619710 4395656617870 7221435872215 10110010221101 14442871744430 20220020442202 50550051105505 101100102211010