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102100032233133 = 31119241227920863
BaseRepresentation
bin10111001101110000000100…
…001001110001111010101101
3111101111200000210110100001020
4113031300010021301322231
5101340301331222430013
61001052035101404353
730335324656455054
oct2715600411617255
9441450023410036
10102100032233133
112a5944204a9310
12b54b8062696b9
1344c7cb7a942bc
141b2d94cb1339b
15bc0cc9752623
hex5cdc04271ead

102100032233133 has 96 divisors (see below), whose sum is σ = 161267125727232. Its totient is φ = 56940212563200.

The previous prime is 102100032233117. The next prime is 102100032233161. The reversal of 102100032233133 is 331332230001201.

It is not a de Polignac number, because 102100032233133 - 24 = 102100032233117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100032233533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110413860 + ... + 111334722.

It is an arithmetic number, because the mean of its divisors is an integer number (1679865892992).

Almost surely, 2102100032233133 is an apocalyptic number.

It is an amenable number.

102100032233133 is a deficient number, since it is larger than the sum of its proper divisors (59167093494099).

102100032233133 is a wasteful number, since it uses less digits than its factorization.

102100032233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921183 (or 921164 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102100032233133 its reverse (331332230001201), we get a palindrome (433432262234334).

The spelling of 102100032233133 in words is "one hundred two trillion, one hundred billion, thirty-two million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 41 57 123 209 227 361 451 627 681 779 1083 1353 2337 2497 3971 4313 7491 8569 9307 11913 12939 14801 25707 27921 44403 47443 81947 102377 142329 162811 176833 245841 307131 488433 530499 901417 920863 1945163 2704251 2762589 3359827 5835489 10079481 10129493 17496397 30388479 36958097 37755383 52489191 110874291 113266149 192460367 209035901 332431543 415309213 577381101 627107703 717352277 997294629 1245927639 2152056831 2299394911 3656746973 3971682119 6898184733 7890875047 8570471941 10970240919 11915046357 13629693263 23672625141 25711415823 40889079789 43688503309 75461960261 94275191351 131065509927 149926625893 162838966879 226385880783 282825574053 449779877679 488516900637 830081562871 1791228635669 2490244688613 3093940370701 5373685907007 9281821112103 34033344077711 102100032233133