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102012033030 = 23519739972459
BaseRepresentation
bin101111100000001100…
…1000001100000000110
3100202022101122012200120
41133000121001200012
53132410040024110
6114510315522410
710240644655005
oct1370031014006
9322271565616
10102012033030
113a299151316
121792b759406
13980960ab2b
144d1a36cc3c
1529c0bc7870
hex17c0641806

102012033030 has 128 divisors (see below), whose sum is σ = 261613324800. Its totient is φ = 25382605824.

The previous prime is 102012033017. The next prime is 102012033043. The reversal of 102012033030 is 30330210201.

It is an interprime number because it is at equal distance from previous prime (102012033017) and next prime (102012033043).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41483941 + ... + 41486399.

It is an arithmetic number, because the mean of its divisors is an integer number (2043854100).

Almost surely, 2102012033030 is an apocalyptic number.

102012033030 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 102012033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130806662400).

102012033030 is an abundant number, since it is smaller than the sum of its proper divisors (159601291770).

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

102012033030 is a wasteful number, since it uses less digits than its factorization.

102012033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102012033030 its reverse (30330210201), we get a palindrome (132342243231).

It can be divided in two parts, 10201 and 2033030, that added together give a triangular number (2043231 = T2021).

The spelling of 102012033030 in words is "one hundred two billion, twelve million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 219 285 365 438 570 730 997 1095 1387 1994 2190 2459 2774 2991 4161 4918 4985 5982 6935 7377 8322 9970 12295 13870 14754 14955 18943 20805 24590 29910 36885 37886 41610 46721 56829 72781 73770 93442 94715 113658 140163 145562 179507 189430 218343 233605 280326 284145 359014 363905 436686 467210 538521 568290 700815 727810 897535 1077042 1091715 1382839 1401630 1795070 2183430 2451623 2692605 2765678 3410633 4148517 4903246 5385210 6821266 6914195 7354869 8297034 10231899 12258115 13828390 14709738 17053165 20463798 20742585 24516230 34106330 36774345 41485170 46580837 51159495 73548690 93161674 102318990 139742511 178968479 232904185 279485022 357936958 465808370 536905437 698712555 894842395 1073810874 1397425110 1789684790 2684527185 3400401101 5369054370 6800802202 10201203303 17002005505 20402406606 34004011010 51006016515 102012033030