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345525513211320 = 2335131481149554837
BaseRepresentation
bin100111010010000001110110…
…1011110011100110110111000
31200022101220202002210212012220
41032210003231132130312320
5330242042222340230240
63222512121321004040
7132531252216066621
oct11644035536346670
91608356662725186
10345525513211320
11a0105602415862
12329051ab323620
1311aa4bba847340
14614774a098a48
1529e2da167a5d0
hex13a40ed79cdb8

345525513211320 has 128 divisors (see below), whose sum is σ = 1117066960376640. Its totient is φ = 84995004395520.

The previous prime is 345525513211297. The next prime is 345525513211387. The reversal of 345525513211320 is 23112315525543.

It is a super-2 number, since 2×3455255132113202 (a number of 30 digits) contains 22 as substring.

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, 72467059 + ... + 77087778.

Almost surely, 2345525513211320 is an apocalyptic number.

345525513211320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345525513211320 is an abundant number, since it is smaller than the sum of its proper divisors (771541447165320).

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

345525513211320 is a wasteful number, since it uses less digits than its factorization.

345525513211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149556345 (or 149556341 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 345525513211320 its reverse (23112315525543), we get a palindrome (368637828736863).

The spelling of 345525513211320 in words is "three hundred forty-five trillion, five hundred twenty-five billion, five hundred thirteen million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1481 1560 2962 4443 5924 7405 8886 11848 14810 17772 19253 22215 29620 35544 38506 44430 57759 59240 77012 88860 96265 115518 154024 177720 192530 231036 288795 385060 462072 577590 770120 1155180 2310360 149554837 299109674 448664511 598219348 747774185 897329022 1196438696 1495548370 1794658044 1944212881 2243322555 2991096740 3589316088 3888425762 4486645110 5832638643 5982193480 7776851524 8973290220 9721064405 11665277286 15553703048 17946580440 19442128810 23330554572 29163193215 38884257620 46661109144 58326386430 77768515240 116652772860 221490713597 233305545720 442981427194 664472140791 885962854388 1107453567985 1328944281582 1771925708776 2214907135970 2657888563164 2879379276761 3322360703955 4429814271940 5315777126328 5758758553522 6644721407910 8638137830283 8859628543880 11517517107044 13289442815820 14396896383805 17276275660566 23035034214088 26578885631640 28793792767610 34552551321132 43190689151415 57587585535220 69105102642264 86381378302830 115175171070440 172762756605660 345525513211320