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101021122123030 = 25196175128374091
BaseRepresentation
bin10110111110000011010000…
…000110010101010100010110
3111020200112011200201222102201
4112332003100012111110112
5101220112224230414110
6554504243545355114
730164351403032014
oct2676032006252426
9436615150658381
10101021122123030
112a2088a990679a
12b3b66a1498a9a
13444a335414925
141ad363c59b8b4
15ba2bd0557b3a
hex5be0d0195516

101021122123030 has 128 divisors (see below), whose sum is σ = 194921635645440. Its totient is φ = 37581537600000.

The previous prime is 101021122122983. The next prime is 101021122123079. The reversal of 101021122123030 is 30321221120101.

101021122123030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010211221230302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 101021122122989 and 101021122123007.

It is a congruent number.

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, 24693501285 + ... + 24693505375.

It is an arithmetic number, because the mean of its divisors is an integer number (1522825278480).

Almost surely, 2101021122123030 is an apocalyptic number.

101021122123030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021122123030 is a deficient number, since it is larger than the sum of its proper divisors (93900513522410).

101021122123030 is a wasteful number, since it uses less digits than its factorization.

101021122123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101021122123030 its reverse (30321221120101), we get a palindrome (131342343243131).

The spelling of 101021122123030 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 5 10 19 38 61 95 122 190 305 610 751 1159 1502 2318 2837 3755 4091 5674 5795 7510 8182 11590 14185 14269 20455 28370 28538 40910 45811 53903 71345 77729 91622 107806 142690 155458 173057 229055 249551 269515 346114 388645 458110 499102 539030 777290 865285 870409 1247755 1730570 1740818 2130587 2495510 3072341 3288083 4261174 4352045 4741469 6144682 6576166 8704090 9482938 10652935 11606167 15361705 16440415 21305870 23212334 23707345 30723410 32880830 40481153 47414690 58030835 58374479 80962306 116061670 116748958 129965807 187412801 202405765 220517173 259931614 291872395 374825602 404811530 441034346 583744790 649829035 707976187 937064005 1102585865 1299658070 1415952374 1874128010 2205171730 2469350333 3539880935 3560843219 4938700666 7079761870 7121686438 8716231417 12346751665 13451547553 17432462834 17804216095 24693503330 26903095106 35608432190 43581157085 67257737765 87162314170 134515475530 165608396923 331216793846 531690116437 828041984615 1063380232874 1656083969230 2658450582185 5316901164370 10102112212303 20204224424606 50510561061515 101021122123030