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100120210210 = 251753101269409
BaseRepresentation
bin101110100111110100…
…0010010101100100010
3100120102112211122122201
41131033220102230202
53120021233211320
6113554455323414
710143033513406
oct1351750225442
9316375748581
10100120210210
1139508280889
12174a208056a
1395976ab247
144bbadd3106
15290ea8270a
hex174fa12b22

100120210210 has 128 divisors (see below), whose sum is σ = 197554334400. Its totient is φ = 36389683200.

The previous prime is 100120210187. The next prime is 100120210213. The reversal of 100120210210 is 12012021001.

It can be written as a sum of positive squares in 32 ways, for example, as 20133623449 + 79986586761 = 141893^2 + 282819^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100120210213) 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, 244792486 + ... + 244792894.

Almost surely, 2100120210210 is an apocalyptic number.

100120210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120210210 is a deficient number, since it is larger than the sum of its proper divisors (97434124190).

100120210210 is a wasteful number, since it uses less digits than its factorization.

100120210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856.

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

Adding to 100120210210 its reverse (12012021001), we get a palindrome (112132231211).

The spelling of 100120210210 in words is "one hundred billion, one hundred twenty million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 5 10 17 34 53 85 101 106 170 202 265 269 409 505 530 538 818 901 1010 1345 1717 1802 2045 2690 3434 4090 4505 4573 5353 6953 8585 9010 9146 10706 13906 14257 17170 21677 22865 26765 27169 28514 34765 41309 43354 45730 53530 54338 69530 71285 82618 91001 108385 110021 135845 142570 182002 206545 216770 220042 242369 271690 368509 413090 455005 461873 484738 550105 702253 737018 910010 923746 1100210 1211845 1404506 1439957 1842545 1870357 2189377 2309365 2423690 2879914 3511265 3685090 3740714 4378754 4618730 5831113 7022530 7199785 9351785 10946885 11112121 11662226 14399570 18703570 21893770 22224242 24479269 29155565 37219409 48958538 55560605 58311130 74438818 99128921 111121210 122396345 186097045 188906057 198257842 244792690 372194090 377812114 495644605 588942413 944530285 991289210 1177884826 1889060570 2944712065 5889424130 10012021021 20024042042 50060105105 100120210210