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103464422010 = 23352937357131
BaseRepresentation
bin110000001011011110…
…1011100101001111010
3100220001121120012211000
41200112331130221322
53143343343001020
6115310401345430
710321642035135
oct1402675345172
9326047505730
10103464422010
113a973a72694
1218076038276
1399ab4a01b1
1450171db21c
152a5846a090
hex1816f5ca7a

103464422010 has 128 divisors (see below), whose sum is σ = 293133945600. Its totient is φ = 25919066880.

The previous prime is 103464422003. The next prime is 103464422011. The reversal of 103464422010 is 10224464301.

It is a happy number.

103464422010 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 644 + 2 + 2 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103464422011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111145 + ... + 468275.

It is an arithmetic number, because the mean of its divisors is an integer number (2290108950).

Almost surely, 2103464422010 is an apocalyptic number.

103464422010 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 103464422010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146566972800).

103464422010 is an abundant number, since it is smaller than the sum of its proper divisors (189669523590).

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

103464422010 is a wasteful number, since it uses less digits than its factorization.

103464422010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357213 (or 357207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103464422010 its reverse (10224464301), we get a palindrome (113688886311).

The spelling of 103464422010 in words is "one hundred three billion, four hundred sixty-four million, four hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 37 45 54 58 74 87 90 111 135 145 174 185 222 261 270 290 333 370 435 522 555 666 783 870 999 1073 1110 1305 1566 1665 1998 2146 2610 3219 3330 3915 4995 5365 6438 7830 9657 9990 10730 16095 19314 28971 32190 48285 57942 96570 144855 289710 357131 714262 1071393 1785655 2142786 3214179 3571310 5356965 6428358 9642537 10356799 10713930 13213847 16070895 19285074 20713598 26427694 31070397 32141790 39641541 48212685 51783995 62140794 66069235 79283082 93211191 96425370 103567990 118924623 132138470 155351985 186422382 198207705 237849246 279633573 310703970 356773869 383201563 396415410 466055955 559267146 594623115 713547738 766403126 932111910 1149604689 1189246230 1398167865 1783869345 1916007815 2299209378 2796335730 3448814067 3567738690 3832015630 5748023445 6897628134 10346442201 11496046890 17244070335 20692884402 34488140670 51732211005 103464422010