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102110002011210 = 23559503943112161
BaseRepresentation
bin10111001101111001010110…
…011001011101110001001010
3111101112121202121100112111010
4113031321112121131301022
5101340432241003324320
61001100404244344350
730336130016255334
oct2715712631356112
9441477677315433
10102110002011210
112a598677151126
12b5517290a50b6
1344c8c1642c77b
141b30216c4a454
15bc11aeb40ae0
hex5cde5665dc4a

102110002011210 has 128 divisors (see below), whose sum is σ = 249760108523520. Its totient is φ = 26709574246400.

The previous prime is 102110002011191. The next prime is 102110002011271. The reversal of 102110002011210 is 12110200011201.

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, 8396507530 + ... + 8396519690.

It is an arithmetic number, because the mean of its divisors is an integer number (1951250847840).

Almost surely, 2102110002011210 is an apocalyptic number.

102110002011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110002011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124880054261760).

102110002011210 is an abundant number, since it is smaller than the sum of its proper divisors (147650106512310).

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

102110002011210 is a wasteful number, since it uses less digits than its factorization.

102110002011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22164.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102110002011210 its reverse (12110200011201), we get a palindrome (114220202022411).

The spelling of 102110002011210 in words is "one hundred two trillion, one hundred ten billion, two million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 503 590 885 1006 1509 1770 2515 3018 5030 7545 9431 12161 15090 18862 24322 28293 29677 36483 47155 56586 59354 60805 72966 89031 94310 121610 141465 148385 178062 182415 282930 296770 364830 445155 556429 717499 890310 1112858 1434998 1669287 2152497 2782145 3338574 3587495 4304994 4743793 5564290 6116983 7174990 8346435 9487586 10762485 12233966 14231379 16692870 18350949 21524970 23718965 28462758 30584915 36701898 47437930 61169830 71156895 91754745 114690391 142313790 183509490 229380782 279883787 344071173 360901997 559767574 573451955 688142346 721803994 839651361 1082705991 1146903910 1399418935 1679302722 1720355865 1804509985 2165411982 2798837870 3440711730 3609019970 4198256805 5413529955 6766733069 8396513610 10827059910 13533466138 20300199207 33833665345 40600398414 57689266673 67667330690 101500996035 115378533346 173067800019 203001992070 288446333365 346135600038 576892666730 865339000095 1730678000190 3403666733707 6807333467414 10211000201121 17018333668535 20422000402242 34036667337070 51055001005605 102110002011210