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103013100120 = 23357235331941
BaseRepresentation
bin101111111110000001…
…1110010101001011000
3100211220011022200120110
41133330003302221120
53141432323200440
6115153520124320
710304521621650
oct1377403625130
9324804280513
10103013100120
113a762233897
1217b6aa666a0
139938b2c918
144db32b7360
152a2da1a080
hex17fc0f2a58

103013100120 has 128 divisors (see below), whose sum is σ = 368543831040. Its totient is φ = 22522114560.

The previous prime is 103013100083. The next prime is 103013100139. The reversal of 103013100120 is 21001310301.

It is a super-2 number, since 2×1030131001202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103013100096 and 103013100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646651 + ... + 2685290.

It is an arithmetic number, because the mean of its divisors is an integer number (2879248680).

Almost surely, 2103013100120 is an apocalyptic number.

103013100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013100120 is an abundant number, since it is smaller than the sum of its proper divisors (265530730920).

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

103013100120 is a wasteful number, since it uses less digits than its factorization.

103013100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331985 (or 5331981 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103013100120 its reverse (21001310301), we get a palindrome (124014410421).

The spelling of 103013100120 in words is "one hundred three billion, thirteen million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 5331941 10663882 15995823 21327764 26659705 31991646 37323587 42655528 53319410 63983292 74647174 79979115 106638820 111970761 122634643 127966584 149294348 159958230 186617935 213277640 223941522 245269286 298588696 319916460 367903929 373235870 447883044 490538572 559853805 613173215 639832920 735807858 746471740 858442501 895766088 981077144 1119707610 1226346430 1471615716 1492943480 1716885002 1839519645 2239415220 2452692860 2575327503 2943231432 3433770004 3679039290 4292212505 4478830440 4905385720 5150655006 6867540008 7358078580 8584425010 10301310012 12876637515 14716157160 17168850020 20602620024 25753275030 34337700040 51506550060 103013100120