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13102011120 = 24351131160093
BaseRepresentation
bin11000011001111000…
…01101001011110000
31020211002202010102010
430030330031023300
5203313103323440
610004033322520
7642452154102
oct141474151360
936732663363
1013102011120
11561381a970
122657a06440
13130a56aa03
148c4121572
1551a3a2580
hex30cf0d2f0

13102011120 has 160 divisors (see below), whose sum is σ = 45738215424. Its totient is φ = 3073766400.

The previous prime is 13102011103. The next prime is 13102011137. The reversal of 13102011120 is 2111020131.

It is an interprime number because it is at equal distance from previous prime (13102011103) and next prime (13102011137).

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 = 13102011096 and 13102011105.

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, 1794 + ... + 161886.

Almost surely, 213102011120 is an apocalyptic number.

13102011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869107712).

13102011120 is an abundant number, since it is smaller than the sum of its proper divisors (32636204304).

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

13102011120 is a wasteful number, since it uses less digits than its factorization.

13102011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160151 (or 160145 counting only the distinct ones).

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

Adding to 13102011120 its reverse (2111020131), we get a palindrome (15213031251).

It can be divided in two parts, 131020111 and 20, that added together give a palindrome (131020131).

The spelling of 13102011120 in words is "thirteen billion, one hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 5115 5456 6820 7440 8184 10230 13640 16368 20460 27280 40920 81840 160093 320186 480279 640372 800465 960558 1280744 1600930 1761023 1921116 2401395 2561488 3201860 3522046 3842232 4802790 4962883 5283069 6403720 7044092 7684464 8805115 9605580 9925766 10566138 12807440 14088184 14888649 17610230 19211160 19851532 21132276 24814415 26415345 28176368 29777298 35220460 38422320 39703064 42264552 49628830 52830690 54591713 59554596 70440920 74443245 79406128 84529104 99257660 105661380 109183426 119109192 140881840 148886490 163775139 198515320 211322760 218366852 238218384 272958565 297772980 327550278 397030640 422645520 436733704 545917130 595545960 655100556 818875695 873467408 1091834260 1191091920 1310201112 1637751390 2183668520 2620402224 3275502780 4367337040 6551005560 13102011120