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231013101033 = 341113237011237
BaseRepresentation
bin1101011100100101110…
…1000010110111101001
3211002021200220110020000
43113021131002313221
512241103323213113
6254043112253213
722455501650121
oct3271135026751
9732250813200
10231013101033
1189a76967010
12389319a1209
1318a2755a630
14b276cc7c81
156020ebb373
hex35c9742de9

231013101033 has 160 divisors (see below), whose sum is σ = 423997846272. Its totient is φ = 123342912000.

The previous prime is 231013101013. The next prime is 231013101041. The reversal of 231013101033 is 330101310132.

It is a happy number.

231013101033 is a `hidden beast` number, since 2 + 310 + 1 + 310 + 10 + 33 = 666.

It is not a de Polignac number, because 231013101033 - 213 = 231013092841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231013100997 and 231013101015.

It is not an unprimeable number, because it can be changed into a prime (231013101013) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 186752091 + ... + 186753327.

Almost surely, 2231013101033 is an apocalyptic number.

231013101033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

231013101033 is a deficient number, since it is larger than the sum of its proper divisors (192984745239).

231013101033 is a wasteful number, since it uses less digits than its factorization.

231013101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 231013101033 its reverse (330101310132), we get a palindrome (561114411165).

The spelling of 231013101033 in words is "two hundred thirty-one billion, thirteen million, one hundred one thousand, thirty-three".

Divisors: 1 3 9 11 13 23 27 33 39 69 81 99 117 143 207 253 297 299 351 429 621 701 759 891 897 1053 1237 1287 1863 2103 2277 2691 3289 3711 3861 6309 6831 7711 8073 9113 9867 11133 11583 13607 16081 16123 18927 20493 23133 24219 27339 28451 29601 33399 40821 48243 48369 56781 69399 82017 85353 88803 100197 100243 122463 144729 145107 176891 177353 208197 209599 246051 256059 266409 300729 312961 367389 369863 434187 435321 530673 532059 624591 628797 738153 768177 867137 902187 938883 1102167 1109589 1302561 1305963 1592019 1596177 1886391 2304531 2305589 2601411 2706561 2816649 3328767 4068493 4776057 4788531 5659173 6916767 7804233 8119683 8449947 9538507 9986301 11272781 12205479 14328171 14365593 16977519 19944151 20750301 23412699 25349841 28615521 29958903 33818343 36616437 59832453 62250903 70238097 85846563 101455029 109849311 124000591 179497359 186752709 219385661 257539689 259273963 304365087 329547933 372001773 538492077 658156983 772619067 777821889 913095261 1116005319 1615476231 1974470949 2333465667 2852013593 3348015957 5923412847 7000397001 8556040779 10044047871 17770238541 21001191003 25668122337 77004367011 231013101033