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2100311031210 = 235771199707869
BaseRepresentation
bin11110100100000100010…
…010101111110110101010
321102210021021202012211020
4132210010102233312222
5233402414110444320
64244511454313310
7304512444126060
oct36440422576652
97383237665736
102100311031210
1173a811905277
1229b079ab8836
1312309b634942
1473926d56030
15399796a4940
hex1e9044afdaa

2100311031210 has 128 divisors (see below), whose sum is σ = 5871356928000. Its totient is φ = 470930423040.

The previous prime is 2100311031209. The next prime is 2100311031211. The reversal of 2100311031210 is 121301130012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100311031209) and next prime (2100311031211).

It is a super-2 number, since 2×21003110312102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100311031210.

It is not an unprimeable number, because it can be changed into a prime (2100311031211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2613156 + ... + 3321024.

It is an arithmetic number, because the mean of its divisors is an integer number (45869976000).

Almost surely, 22100311031210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100311031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935678464000).

2100311031210 is an abundant number, since it is smaller than the sum of its proper divisors (3771045896790).

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

2100311031210 is a wasteful number, since it uses less digits than its factorization.

2100311031210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708156.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2100311031210 its reverse (121301130012), we get a palindrome (2221612161222).

The spelling of 2100311031210 in words is "two trillion, one hundred billion, three hundred eleven million, thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 199 210 213 355 398 426 497 597 710 994 995 1065 1194 1393 1491 1990 2130 2485 2786 2982 2985 4179 4970 5970 6965 7455 8358 13930 14129 14910 20895 28258 41790 42387 70645 84774 98903 141290 197806 211935 296709 423870 494515 593418 707869 989030 1415738 1483545 2123607 2967090 3539345 4247214 4955083 7078690 9910166 10618035 14865249 21236070 24775415 29730498 49550830 50258699 74326245 100517398 140865931 148652490 150776097 251293495 281731862 301552194 351810893 422597793 502586990 703621786 704329655 753880485 845195586 986061517 1055432679 1408659310 1507760970 1759054465 1972123034 2110865358 2112988965 2958184551 3518108930 4225977930 4930307585 5277163395 5916369102 9860615170 10001481101 10554326790 14790922755 20002962202 29581845510 30004443303 50007405505 60008886606 70010367707 100014811010 140020735414 150022216515 210031103121 300044433030 350051838535 420062206242 700103677070 1050155515605 2100311031210