Search a number
-
+
1001102200210 = 257731373534051
BaseRepresentation
bin11101001000101100101…
…01110100110110010010
310112201000112101222221001
432210112111310312102
5112400224130401320
62043522222252214
7132220150204510
oct16442625646622
93481015358831
101001102200210
11356624103262
1214202b12706a
1373532739b08
143664c9994b0
151b0933d420a
hexe916574d92

1001102200210 has 128 divisors (see below), whose sum is σ = 2109337127424. Its totient is φ = 335027404800.

The previous prime is 1001102200199. The next prime is 1001102200243. The reversal of 1001102200210 is 120022011001.

1001102200210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 247122685 + ... + 247126735.

It is an arithmetic number, because the mean of its divisors is an integer number (16479196308).

Almost surely, 21001102200210 is an apocalyptic number.

1001102200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001102200210 is an abundant number, since it is smaller than the sum of its proper divisors (1108234927214).

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

1001102200210 is a wasteful number, since it uses less digits than its factorization.

1001102200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001102200210 its reverse (120022011001), we get a palindrome (1121124211211).

The spelling of 1001102200210 in words is "one trillion, one billion, one hundred two million, two hundred thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 70 73 137 146 274 353 365 511 685 706 730 959 1022 1370 1765 1918 2471 2555 3530 4051 4795 4942 5110 8102 9590 10001 12355 20002 20255 24710 25769 28357 40510 48361 50005 51538 56714 70007 96722 100010 128845 140014 141785 180383 241805 257690 283570 295723 338527 350035 360766 483610 554987 591446 677054 700070 901915 1109974 1430003 1478615 1692635 1803830 2070061 2774935 2860006 2957230 3385270 3530353 3884909 4140122 5549870 7060706 7150015 7769818 10010021 10350305 14300030 17651765 19424545 20020042 20700610 24712471 35303530 38849090 40514051 49424942 50050105 81028102 100100210 104390219 123562355 195910411 202570255 208780438 247124710 283598357 391820822 405140510 521951095 567196714 730731533 979552055 1043902190 1371372877 1417991785 1461463066 1959104110 2742745754 2835983570 3653657665 6856864385 7307315330 13713728770 14301460003 28602920006 71507300015 100110220021 143014600030 200220440042 500551100105 1001102200210